102400200012 has 48 divisors (see below), whose sum is σ = 260724102912. Its totient is φ = 31022143680.

The previous prime is 102400200011. The next prime is 102400200017. The reversal of 102400200012 is 210002004201.

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

It is not an unprimeable number, because it can be changed into a prime (102400200011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406978 + ... + 608630.

It is an arithmetic number, because the mean of its divisors is an integer number (5431752144).

Almost surely, 2^102400200012 is an apocalyptic number.

102400200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102400200012 is an abundant number, since it is smaller than the sum of its proper divisors (158323902900).

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

102400200012 is a wasteful number, since it uses less digits than its factorization.

102400200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205518 (or 205516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102400200012 its reverse (210002004201), we get a palindrome (312402204213).

The spelling of 102400200012 in words is "one hundred two billion, four hundred million, two hundred thousand, twelve".