102210000022200 has 288 divisors, whose sum is σ = 373022528780160. Its totient is φ = 23080811846400.

The previous prime is 102210000022157. The next prime is 102210000022219. The reversal of 102210000022200 is 2220000012201.

It is a super-3 number, since 3×102210000022200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18502756 + ... + 23383155.

It is an arithmetic number, because the mean of its divisors is an integer number (1295217113820).

Almost surely, 2^{102210000022200} is an apocalyptic number.

102210000022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210000022200 is an abundant number, since it is smaller than the sum of its proper divisors (270812528757960).

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

102210000022200 is a wasteful number, since it uses less digits than its factorization.

102210000022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41886027 (or 41886011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102210000022200 its reverse (2220000012201), we get a palindrome (104430000034401).

Subtracting from 102210000022200 its reverse (2220000012201), we obtain a palindrome (99990000009999).

The spelling of 102210000022200 in words is "one hundred two trillion, two hundred ten billion, twenty-two thousand, two hundred".