202131210042000 has 240 divisors, whose sum is σ = 708661279168128. Its totient is φ = 53696705491200.

The previous prime is 202131210041977. The next prime is 202131210042127. The reversal of 202131210042000 is 240012131202.

It is a happy number.

202131210042000 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 31 + 210 + 0 + 420 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16614882 + ... + 26082881.

Almost surely, 2^{202131210042000} is an apocalyptic number.

202131210042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131210042000 is an abundant number, since it is smaller than the sum of its proper divisors (506530069126128).

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

202131210042000 is a wasteful number, since it uses less digits than its factorization.

202131210042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42698055 (or 42698036 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202131210042000 its reverse (240012131202), we get a palindrome (202371222173202).

The spelling of 202131210042000 in words is "two hundred two trillion, one hundred thirty-one billion, two hundred ten million, forty-two thousand".