102101112222200 has 288 divisors, whose sum is σ = 302423935035600. Its totient is φ = 31765633320960.

The previous prime is 102101112222149. The next prime is 102101112222247. The reversal of 102101112222200 is 2222211101201.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 724892 + ... + 14308308.

Almost surely, 2^{102101112222200} is an apocalyptic number.

102101112222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101112222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151211967517800).

102101112222200 is an abundant number, since it is smaller than the sum of its proper divisors (200322822813400).

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

102101112222200 is a wasteful number, since it uses less digits than its factorization.

102101112222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13583519 (or 13583503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102101112222200 its reverse (2222211101201), we get a palindrome (104323323323401).

The spelling of 102101112222200 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, two hundred".