102400411134144 has 28 divisors (see below), whose sum is σ = 270934421126264. Its totient is φ = 34133470377984.

The previous prime is 102400411134139. The next prime is 102400411134163. The reversal of 102400411134144 is 441431114004201.

It is a super-2 number, since 2×102400411134144² (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 266667737137 + ... + 266667737520.

It is an arithmetic number, because the mean of its divisors is an integer number (9676229325938).

Almost surely, 2^{102400411134144} is an apocalyptic number.

It is an amenable number.

102400411134144 is an abundant number, since it is smaller than the sum of its proper divisors (168534009992120).

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

102400411134144 is an equidigital number, since it uses as much as digits as its factorization.

102400411134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533335474672 (or 533335474662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 102400411134144 its reverse (441431114004201), we get a palindrome (543831525138345).

The spelling of 102400411134144 in words is "one hundred two trillion, four hundred billion, four hundred eleven million, one hundred thirty-four thousand, one hundred forty-four".