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21102012020100 = 223521129220501693
BaseRepresentation
bin1001100110001001100011…
…11011100011010110000100
32202201022222111111111002110
410303010301323203112010
510231213410034120400
6112514044104141020
74305366346443144
oct463046173432604
982638874444073
1021102012020100
1167a6349725560
122449865167770
13ba0bacb8453b
1452d4b2a2c924
15268da22c0e50
hex133131ee3584

21102012020100 has 144 divisors (see below), whose sum is σ = 68902369341120. Its totient is φ = 4939237900800.

The previous prime is 21102012020081. The next prime is 21102012020137. The reversal of 21102012020100 is 102021020112.

It is a super-2 number, since 2×211020120201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110155147 + ... + 110346546.

It is an arithmetic number, because the mean of its divisors is an integer number (478488675980).

Almost surely, 221102012020100 is an apocalyptic number.

21102012020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102012020100 is an abundant number, since it is smaller than the sum of its proper divisors (47800357321020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21102012020100 is a wasteful number, since it uses less digits than its factorization.

21102012020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220501750 (or 220501743 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21102012020100 its reverse (102021020112), we get a palindrome (21204033040212).

The spelling of 21102012020100 in words is "twenty-one trillion, one hundred two billion, twelve million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 220501693 441003386 661505079 882006772 1102508465 1323010158 2205016930 2425518623 2646020316 3307525395 4410033860 4851037246 5512542325 6394549097 6615050790 7276555869 9702074492 11025084650 12127593115 12789098194 13230101580 14553111738 16537626975 19183647291 22050169300 24255186230 25578196388 29106223476 31972745485 33075253950 36382779345 38367294582 48510372460 60637965575 63945490970 66150507900 70340040067 72765558690 76734589164 95918236455 121275931150 127890981940 140680080134 145531117380 159863727425 181913896725 191836472910 211020120201 242551862300 281360160268 319727454850 351700200335 363827793450 383672945820 422040240402 479591182275 639454909700 703400400670 727655586900 844080480804 959182364550 1055100601005 1406800801340 1758501001675 1918364729100 2110201202010 3517002003350 4220402404020 5275503005025 7034004006700 10551006010050 21102012020100