102400100410 has 16 divisors (see below), whose sum is σ = 184332289536. Its totient is φ = 40957349328.

The previous prime is 102400100377. The next prime is 102400100459. The reversal of 102400100410 is 14001004201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172734 + ... + 484393.

It is an arithmetic number, because the mean of its divisors is an integer number (11520768096).

Almost surely, 2^102400100410 is an apocalyptic number.

102400100410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102400100410 is a deficient number, since it is larger than the sum of its proper divisors (81932189126).

102400100410 is a wasteful number, since it uses less digits than its factorization.

102400100410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672717.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102400100410 its reverse (14001004201), we get a palindrome (116401104611).

The spelling of 102400100410 in words is "one hundred two billion, four hundred million, one hundred thousand, four hundred ten".