102101212012200 has 96 divisors (see below), whose sum is σ = 316528314775200. Its totient is φ = 27225737608960.

The previous prime is 102101212012171. The next prime is 102101212012201. The reversal of 102101212012200 is 2210212101201.

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 102101212012200.

It is not an unprimeable number, because it can be changed into a prime (102101212012201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9179386 + ... + 16984214.

It is an arithmetic number, because the mean of its divisors is an integer number (3297169945575).

Almost surely, 2^{102101212012200} is an apocalyptic number.

102101212012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101212012200 is an abundant number, since it is smaller than the sum of its proper divisors (214427102763000).

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

102101212012200 is a wasteful number, since it uses less digits than its factorization.

102101212012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826651 (or 7826642 counting only the distinct ones).

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

Adding to 102101212012200 its reverse (2210212101201), we get a palindrome (104311424113401).

The spelling of 102101212012200 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, twelve thousand, two hundred".