100102112010 has 96 divisors (see below), whose sum is σ = 283565142720. Its totient is φ = 25123647744.

The previous prime is 100102111987. The next prime is 100102112017. The reversal of 100102112010 is 10211201001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100102111983 and 100102112001.

It is not an unprimeable number, because it can be changed into a prime (100102112017) 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, 563404 + ... + 719463.

It is an arithmetic number, because the mean of its divisors is an integer number (2953803570).

Almost surely, 2^100102112010 is an apocalyptic number.

100102112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102112010 is an abundant number, since it is smaller than the sum of its proper divisors (183463030710).

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

100102112010 is a wasteful number, since it uses less digits than its factorization.

100102112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282917 (or 1282894 counting only the distinct ones).

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

Adding to 100102112010 its reverse (10211201001), we get a palindrome (110313313011).

The spelling of 100102112010 in words is "one hundred billion, one hundred two million, one hundred twelve thousand, ten".