102100112010 has 96 divisors (see below), whose sum is σ = 296468565120. Its totient is φ = 25132327488.

The previous prime is 102100112003. The next prime is 102100112011. The reversal of 102100112010 is 10211001201.

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 = 102100111983 and 102100112001.

It is not an unprimeable number, because it can be changed into a prime (102100112011) 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, 1584430 + ... + 1647609.

It is an arithmetic number, because the mean of its divisors is an integer number (3088214220).

Almost surely, 2^102100112010 is an apocalyptic number.

102100112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100112010 is an abundant number, since it is smaller than the sum of its proper divisors (194368453110).

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

102100112010 is a wasteful number, since it uses less digits than its factorization.

102100112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232074 (or 3232062 counting only the distinct ones).

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

Adding to 102100112010 its reverse (10211001201), we get a palindrome (112311113211).

The spelling of 102100112010 in words is "one hundred two billion, one hundred million, one hundred twelve thousand, ten".