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100221112100 = 22523132329391
BaseRepresentation
bin101110101010110100…
…1001100111100100100
3100120200120201000000202
41131111221030330210
53120223101041400
6114012502130032
710145400253124
oct1352551147444
9316616630022
10100221112100
113955a22897a
121750ba20918
1395b25793c5
144bca57ac84
1529188644d5
hex1755a4cf24

100221112100 has 36 divisors (see below), whose sum is σ = 224495298048. Its totient is φ = 38795268000.

The previous prime is 100221112073. The next prime is 100221112109. The reversal of 100221112100 is 1211122001.

It is not an unprimeable number, because it can be changed into a prime (100221112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16161596 + ... + 16167795.

Almost surely, 2100221112100 is an apocalyptic number.

100221112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221112100 is an abundant number, since it is smaller than the sum of its proper divisors (124274185948).

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

100221112100 is a wasteful number, since it uses less digits than its factorization.

100221112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32329436 (or 32329429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221112100 its reverse (1211122001), we get a palindrome (101432234101).

Subtracting from 100221112100 its reverse (1211122001), we obtain a palindrome (99009990099).

The spelling of 100221112100 in words is "one hundred billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 32329391 64658782 129317564 161646955 323293910 646587820 808234775 1002211121 1616469550 2004422242 3232939100 4008844484 5011055605 10022111210 20044222420 25055278025 50110556050 100221112100