102201332202000 has 240 divisors, whose sum is σ = 370175750485632. Its totient is φ = 27253688457600.

The previous prime is 102201332201989. The next prime is 102201332202037. The reversal of 102201332202000 is 202233102201.

102201332202000 is a `hidden beast` number, since 10 + 2 + 201 + 33 + 220 + 200 + 0 = 666.

102201332202000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×102201332202000² (a number of 29 digits) contains 22 as substring.

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, 104659404 + ... + 105631403.

Almost surely, 2^{102201332202000} is an apocalyptic number.

102201332202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201332202000 is an abundant number, since it is smaller than the sum of its proper divisors (267974418283632).

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

102201332202000 is an equidigital number, since it uses as much as digits as its factorization.

102201332202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210290845 (or 210290817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102201332202000 its reverse (202233102201), we get a palindrome (102403565304201).

The spelling of 102201332202000 in words is "one hundred two trillion, two hundred one billion, three hundred thirty-two million, two hundred two thousand".