100102112112 has 160 divisors (see below), whose sum is σ = 290559260160. Its totient is φ = 29529702400.

The previous prime is 100102112107. The next prime is 100102112179. The reversal of 100102112112 is 211211201001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062112 + ... + 1152512.

It is an arithmetic number, because the mean of its divisors is an integer number (1815995376).

Almost surely, 2^100102112112 is an apocalyptic number.

100102112112 is a gapful number since it is divisible by the number (12) 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 100102112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145279630080).

100102112112 is an abundant number, since it is smaller than the sum of its proper divisors (190457148048).

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

100102112112 is a wasteful number, since it uses less digits than its factorization.

100102112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90511 (or 90505 counting only the distinct ones).

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

Adding to 100102112112 its reverse (211211201001), we get a palindrome (311313313113).

The spelling of 100102112112 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, one hundred twelve".