100102100112 has 120 divisors (see below), whose sum is σ = 320278736960. Its totient is φ = 28590693120.

The previous prime is 100102100101. The next prime is 100102100113. The reversal of 100102100112 is 211001201001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102100094 and 100102100103.

It is not an unprimeable number, because it can be changed into a prime (100102100113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3190839 + ... + 3222057.

Almost surely, 2^100102100112 is an apocalyptic number.

100102100112 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 100102100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160139368480).

100102100112 is an abundant number, since it is smaller than the sum of its proper divisors (220176636848).

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

100102100112 is a wasteful number, since it uses less digits than its factorization.

100102100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34421 (or 34412 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102100112 its reverse (211001201001), we get a palindrome (311103301113).

The spelling of 100102100112 in words is "one hundred billion, one hundred two million, one hundred thousand, one hundred twelve".