100112112021020 has 144 divisors (see below), whose sum is σ = 238640623915008. Its totient is φ = 35215147440000.

The previous prime is 100112112020959. The next prime is 100112112021029. The reversal of 100112112021020 is 20120211211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112112020986 and 100112112021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112112021029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177591005 + ... + 178153835.

Almost surely, 2^{100112112021020} is an apocalyptic number.

100112112021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112112021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119320311957504).

100112112021020 is an abundant number, since it is smaller than the sum of its proper divisors (138528511893988).

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

100112112021020 is a wasteful number, since it uses less digits than its factorization.

100112112021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565264 (or 565251 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112112021020 its reverse (20120211211001), we get a palindrome (120232323232021).

The spelling of 100112112021020 in words is "one hundred trillion, one hundred twelve billion, one hundred twelve million, twenty-one thousand, twenty".