102000202111200 has 144 divisors (see below), whose sum is σ = 335297892905136. Its totient is φ = 26930746368000.

The previous prime is 102000202111139. The next prime is 102000202111207. The reversal of 102000202111200 is 2111202000201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000202111207) 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, 210154057 + ... + 210638856.

It is an arithmetic number, because the mean of its divisors is an integer number (2328457589619).

Almost surely, 2^{102000202111200} is an apocalyptic number.

102000202111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000202111200 is an abundant number, since it is smaller than the sum of its proper divisors (233297690793936).

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

102000202111200 is a wasteful number, since it uses less digits than its factorization.

102000202111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420793037 (or 420793024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102000202111200 its reverse (2111202000201), we get a palindrome (104111404111401).

The spelling of 102000202111200 in words is "one hundred two trillion, two hundred two million, one hundred eleven thousand, two hundred".