102121122202200 has 144 divisors (see below), whose sum is σ = 357867932731920. Its totient is φ = 26048286232320.

The previous prime is 102121122202199. The next prime is 102121122202237. The reversal of 102121122202200 is 2202221121201.

It is a happy number.

102121122202200 is a `hidden beast` number, since 1 + 0 + 212 + 1 + 12 + 220 + 220 + 0 = 666.

102121122202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1233305487 + ... + 1233388286.

It is an arithmetic number, because the mean of its divisors is an integer number (2485193977305).

Almost surely, 2^{102121122202200} is an apocalyptic number.

102121122202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121122202200 is an abundant number, since it is smaller than the sum of its proper divisors (255746810529720).

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

102121122202200 is a wasteful number, since it uses less digits than its factorization.

102121122202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466693818 (or 2466693806 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102121122202200 its reverse (2202221121201), we get a palindrome (104323343323401).

The spelling of 102121122202200 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred two thousand, two hundred".