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21002202121100 = 2252677094421237
BaseRepresentation
bin1001100011001111101001…
…10011000000001110001100
32202100210100120120021101112
410301213310303000032030
510223100002220333400
6112400140051431152
74265234101343024
oct461476463001614
982323316507345
1021002202121100
116767a90631122
12243244abb54b8
13b946648744c5
14528724d34a84
152664aead7835
hex1319f4cc038c

21002202121100 has 72 divisors (see below), whose sum is σ = 46320249428880. Its totient is φ = 8263820632320.

The previous prime is 21002202121091. The next prime is 21002202121193. The reversal of 21002202121100 is 112120220012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539682 + ... + 6960918.

Almost surely, 221002202121100 is an apocalyptic number.

21002202121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21002202121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23160124714440).

21002202121100 is an abundant number, since it is smaller than the sum of its proper divisors (25318047307780).

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

21002202121100 is a wasteful number, since it uses less digits than its factorization.

21002202121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422027 (or 4422020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21002202121100 its reverse (112120220012), we get a palindrome (21114322341112).

The spelling of 21002202121100 in words is "twenty-one trillion, two billion, two hundred two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 709 1340 1418 1675 2836 3350 3545 6700 7090 14180 17725 35450 47503 70900 95006 190012 237515 475030 950060 1187575 2375150 4421237 4750300 8842474 17684948 22106185 44212370 88424740 110530925 221061850 296222879 442123700 592445758 1184891516 1481114395 2962228790 3134657033 5924457580 6269314066 7405571975 12538628132 14811143950 15673285165 29622287900 31346570330 62693140660 78366425825 156732851650 210022021211 313465703300 420044042422 840088084844 1050110106055 2100220212110 4200440424220 5250550530275 10501101060550 21002202121100