102201222121200 has 180 divisors, whose sum is σ = 357218190227080. Its totient is φ = 27057589608960.

The previous prime is 102201222121157. The next prime is 102201222121211. The reversal of 102201222121200 is 2121222102201.

It is a happy number.

102201222121200 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 2 + 221 + 21 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101619127 + ... + 102619926.

Almost surely, 2^{102201222121200} is an apocalyptic number.

102201222121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201222121200 is an abundant number, since it is smaller than the sum of its proper divisors (255016968105880).

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

102201222121200 is a wasteful number, since it uses less digits than its factorization.

102201222121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204239216 (or 204239202 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102201222121200 its reverse (2121222102201), we get a palindrome (104322444223401).

The spelling of 102201222121200 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".