102130404431400 has 72 divisors (see below), whose sum is σ = 342987941554830. Its totient is φ = 27234774514560.

The previous prime is 102130404431353. The next prime is 102130404431423. The reversal of 102130404431400 is 4134404031201.

102130404431400 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 304 + 0 + 44 + 314 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 98367557113764 + 3762847317636 = 9918042^2 + 1939806^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28369554987 + ... + 28369558586.

Almost surely, 2^{102130404431400} is an apocalyptic number.

102130404431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102130404431400 is an abundant number, since it is smaller than the sum of its proper divisors (240857537123430).

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

102130404431400 is a wasteful number, since it uses less digits than its factorization.

102130404431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56739113595 (or 56739113583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102130404431400 its reverse (4134404031201), we get a palindrome (106264808462601).

The spelling of 102130404431400 in words is "one hundred two trillion, one hundred thirty billion, four hundred four million, four hundred thirty-one thousand, four hundred".