102400102010 has 16 divisors (see below), whose sum is σ = 184323879072. Its totient is φ = 40959219600.

The previous prime is 102400101929. The next prime is 102400102033. The reversal of 102400102010 is 10201004201.

It is a junction number, because it is equal to n+sod(n) for n = 102400101982 and 102400102000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794165 + ... + 914055.

It is an arithmetic number, because the mean of its divisors is an integer number (11520242442).

Almost surely, 2^102400102010 is an apocalyptic number.

102400102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102400102010 is a deficient number, since it is larger than the sum of its proper divisors (81923777062).

102400102010 is a wasteful number, since it uses less digits than its factorization.

102400102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205309.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102400102010 its reverse (10201004201), we get a palindrome (112601106211).

The spelling of 102400102010 in words is "one hundred two billion, four hundred million, one hundred two thousand, ten".