102210101212200 has 96 divisors (see below), whose sum is σ = 316861216488960. Its totient is φ = 27255175142400.

The previous prime is 102210101212181. The next prime is 102210101212217. The reversal of 102210101212200 is 2212101012201.

102210101212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102210101212200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102210101212200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16668672 + ... + 21960528.

It is an arithmetic number, because the mean of its divisors is an integer number (3300637671760).

Almost surely, 2^{102210101212200} is an apocalyptic number.

102210101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210101212200 is an abundant number, since it is smaller than the sum of its proper divisors (214651115276760).

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

102210101212200 is a wasteful number, since it uses less digits than its factorization.

102210101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324067 (or 5324058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102210101212200 its reverse (2212101012201), we get a palindrome (104422202224401).

The spelling of 102210101212200 in words is "one hundred two trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, two hundred".