102400113211 has 16 divisors (see below), whose sum is σ = 114160550400. Its totient is φ = 91050821280.

The previous prime is 102400113203. The next prime is 102400113301. The reversal of 102400113211 is 112311004201.

It is a cyclic number.

It is not a de Polignac number, because 102400113211 - 2³ = 102400113203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400183211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736900 + ... + 864766.

It is an arithmetic number, because the mean of its divisors is an integer number (7135034400).

Almost surely, 2^102400113211 is an apocalyptic number.

102400113211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102400113211 is a deficient number, since it is larger than the sum of its proper divisors (11760437189).

102400113211 is a wasteful number, since it uses less digits than its factorization.

102400113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129474.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102400113211 its reverse (112311004201), we get a palindrome (214711117412).

The spelling of 102400113211 in words is "one hundred two billion, four hundred million, one hundred thirteen thousand, two hundred eleven".