102201412442400 has 108 divisors (see below), whose sum is σ = 360387730650402. Its totient is φ = 27253709982720.

The previous prime is 102201412442369. The next prime is 102201412442413. The reversal of 102201412442400 is 4244214102201.

102201412442400 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 1 + 412 + 4 + 4 + 240 + 0 = 666.

102201412442400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 91799316790416 + 10402095651984 = 9581196^2 + 3225228^2 .

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, 7097313109 + ... + 7097327508.

Almost surely, 2^{102201412442400} is an apocalyptic number.

102201412442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201412442400 is an abundant number, since it is smaller than the sum of its proper divisors (258186318208002).

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

102201412442400 is a wasteful number, since it uses less digits than its factorization.

102201412442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14194640643 (or 14194640627 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 102201412442400 its reverse (4244214102201), we get a palindrome (106445626544601).

The spelling of 102201412442400 in words is "one hundred two trillion, two hundred one billion, four hundred twelve million, four hundred forty-two thousand, four hundred".