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100020012221010 = 23572573998346351
BaseRepresentation
bin10110101111011110111001…
…010011001000001001010010
3111010010211010121211200121110
4112233132321103020021102
5101102211441112033020
6552420320450034150
730032131100206020
oct2657367123101122
9433124117750543
10100020012221010
1129962281423002
12b27466b878956
1343a6b0120c33b
141a9adcc999710
15b86b3b6518e0
hex5af7b94c8252

100020012221010 has 128 divisors (see below), whose sum is σ = 275420908191744. Its totient is φ = 22771700121600.

The previous prime is 100020012220979. The next prime is 100020012221027. The reversal of 100020012221010 is 10122210020001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2157859335 + ... + 2157905685.

It is an arithmetic number, because the mean of its divisors is an integer number (2151725845248).

Almost surely, 2100020012221010 is an apocalyptic number.

100020012221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020012221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137710454095872).

100020012221010 is an abundant number, since it is smaller than the sum of its proper divisors (175400895970734).

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

100020012221010 is a wasteful number, since it uses less digits than its factorization.

100020012221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86608.

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

Adding to 100020012221010 its reverse (10122210020001), we get a palindrome (110142222241011).

The spelling of 100020012221010 in words is "one hundred trillion, twenty billion, twelve million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 257 514 771 1285 1542 1799 2570 3598 3855 5397 7710 8995 10794 17990 26985 39983 46351 53970 79966 92702 119949 139053 199915 231755 239898 278106 279881 324457 399830 463510 559762 599745 648914 695265 839643 973371 1199490 1390530 1399405 1622285 1679286 1946742 2798810 3244570 4198215 4866855 8396430 9733710 10275631 11912207 20551262 23824414 30826893 35736621 51378155 59561035 61653786 71473242 71929417 83385449 102756310 119122070 143858834 154134465 166770898 178683105 215788251 250156347 308268930 357366210 359647085 416927245 431576502 500312694 719294170 833854490 1078941255 1250781735 1853252033 2157882510 2501563470 3706504066 5559756099 9266260165 11119512198 12972764231 18532520330 25945528462 27798780495 38918292693 55597560990 64863821155 77836585386 129727642310 194591463465 389182926930 476285772481 952571544962 1428857317443 2381428862405 2857714634886 3334000407367 4762857724810 6668000814734 7144286587215 10002001222101 14288573174430 16670002036835 20004002444202 33340004073670 50010006110505 100020012221010