102212121010200 has 48 divisors (see below), whose sum is σ = 316857575133480. Its totient is φ = 27256565602560.

The previous prime is 102212121010171. The next prime is 102212121010201. The reversal of 102212121010200 is 2010121212201.

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 102212121010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212121010201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85176766909 + ... + 85176768108.

Almost surely, 2^{102212121010200} is an apocalyptic number.

102212121010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212121010200 is an abundant number, since it is smaller than the sum of its proper divisors (214645454123280).

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

102212121010200 is a wasteful number, since it uses less digits than its factorization.

102212121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170353535036 (or 170353535027 counting only the distinct ones).

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

Adding to 102212121010200 its reverse (2010121212201), we get a palindrome (104222242222401).

The spelling of 102212121010200 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, ten thousand, two hundred".