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100221100101012 = 223111017517334241
BaseRepresentation
bin10110110010011010001011…
…000100100000110110010100
3111010212001011210011101220210
4112302122023010200312110
5101114010303111213022
6553052534321125420
730052510201036602
oct2662321304406624
9433761153141823
10100221100101012
1129a2a591280590
12b2a762b789870
1343bca69a27697
141aa6a27342872
15b8beaa365a0c
hex5b268b120d94

100221100101012 has 48 divisors (see below), whose sum is σ = 257634079141824. Its totient is φ = 30069336960000.

The previous prime is 100221100101011. The next prime is 100221100101019. The reversal of 100221100101012 is 210101001122001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221100101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3758653789 + ... + 3758680452.

It is an arithmetic number, because the mean of its divisors is an integer number (5367376648788).

Almost surely, 2100221100101012 is an apocalyptic number.

100221100101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221100101012 is an abundant number, since it is smaller than the sum of its proper divisors (157412979040812).

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

100221100101012 is a wasteful number, since it uses less digits than its factorization.

100221100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7517334360 (or 7517334358 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221100101012 its reverse (210101001122001), we get a palindrome (310322101223013).

The spelling of 100221100101012 in words is "one hundred trillion, two hundred twenty-one billion, one hundred million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 7517334241 15034668482 22552002723 30069336964 45104005446 82690676651 90208010892 165381353302 248072029953 330762706604 496144059906 759250758341 992288119812 1518501516682 2277752275023 3037003033364 4555504550046 8351758341751 9111009100092 16703516683502 25055275025253 33407033367004 50110550050506 100221100101012