102121211110200 has 96 divisors (see below), whose sum is σ = 316893284637360. Its totient is φ = 27205008537600.

The previous prime is 102121211110187. The next prime is 102121211110211. The reversal of 102121211110200 is 2011112121201.

It is a happy number.

It is a super-2 number, since 2×102121211110200² (a number of 29 digits) contains 22 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 102121211110200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84758881 + ... + 85955280.

Almost surely, 2^{102121211110200} is an apocalyptic number.

102121211110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121211110200 is an abundant number, since it is smaller than the sum of its proper divisors (214772073527160).

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

102121211110200 is a wasteful number, since it uses less digits than its factorization.

102121211110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170715177 (or 170715168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102121211110200 its reverse (2011112121201), we get a palindrome (104132323231401).

The spelling of 102121211110200 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred ten thousand, two hundred".