102102121120200 has 192 divisors, whose sum is σ = 331453545436800. Its totient is φ = 25950757324800.

The previous prime is 102102121120193. The next prime is 102102121120211. The reversal of 102102121120200 is 2021121201201.

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 102102121120200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9287155 + ... + 17042754.

It is an arithmetic number, because the mean of its divisors is an integer number (1726320549150).

Almost surely, 2^{102102121120200} is an apocalyptic number.

102102121120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102121120200 is an abundant number, since it is smaller than the sum of its proper divisors (229351424316600).

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

102102121120200 is a wasteful number, since it uses less digits than its factorization.

102102121120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26330232 (or 26330223 counting only the distinct ones).

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

Adding to 102102121120200 its reverse (2021121201201), we get a palindrome (104123242321401).

The spelling of 102102121120200 in words is "one hundred two trillion, one hundred two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred".