100112210101000 has 128 divisors (see below), whose sum is σ = 246868182812160. Its totient is φ = 37924555680000.

The previous prime is 100112210100979. The next prime is 100112210101003. The reversal of 100112210101000 is 101012211001.

It is a super-2 number, since 2×100112210101000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100112210101003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19225044 + ... + 23871043.

It is an arithmetic number, because the mean of its divisors is an integer number (1928657678220).

Almost surely, 2^{100112210101000} is an apocalyptic number.

100112210101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112210101000 is an abundant number, since it is smaller than the sum of its proper divisors (146755972711160).

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

100112210101000 is a wasteful number, since it uses less digits than its factorization.

100112210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43096232 (or 43096218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100112210101000 its reverse (101012211001), we get a palindrome (100213222312001).

The spelling of 100112210101000 in words is "one hundred trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand".