102102222220200 has 72 divisors (see below), whose sum is σ = 342893296295550. Its totient is φ = 27227259258240.

The previous prime is 102102222220157. The next prime is 102102222220241. The reversal of 102102222220200 is 2022222201201.

102102222220200 is a `hidden beast` number, since 1 + 0 + 21 + 0 + 2 + 222 + 220 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82805231668644 + 19296990551556 = 9099738^2 + 4392834^2 .

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

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 17 ways as a sum of consecutive naturals, for example, 28361726595 + ... + 28361730194.

Almost surely, 2^{102102222220200} is an apocalyptic number.

102102222220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102222220200 is an abundant number, since it is smaller than the sum of its proper divisors (240791074075350).

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

102102222220200 is a wasteful number, since it uses less digits than its factorization.

102102222220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56723456811 (or 56723456799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102102222220200 its reverse (2022222201201), we get a palindrome (104124444421401).

The spelling of 102102222220200 in words is "one hundred two trillion, one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, two hundred".