100112210200100 has 72 divisors (see below), whose sum is σ = 249174593263680. Its totient is φ = 34200272257920.

The previous prime is 100112210200091. The next prime is 100112210200147. The reversal of 100112210200100 is 1002012211001.

It is a super-2 number, since 2×100112210200100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 257960330 + ... + 258348129.

Almost surely, 2^{100112210200100} is an apocalyptic number.

100112210200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112210200100 is an abundant number, since it is smaller than the sum of its proper divisors (149062383063580).

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

100112210200100 is a wasteful number, since it uses less digits than its factorization.

100112210200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516308757 (or 516308750 counting only the distinct ones).

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

Adding to 100112210200100 its reverse (1002012211001), we get a palindrome (101114222411101).

The spelling of 100112210200100 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, two hundred thousand, one hundred".