102201112002100 has 72 divisors (see below), whose sum is σ = 222066172980288. Its totient is φ = 40827048998400.

The previous prime is 102201112002061. The next prime is 102201112002109. The reversal of 102201112002100 is 1200211102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201112002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523256460 + ... + 523451740.

It is an arithmetic number, because the mean of its divisors is an integer number (3084252402504).

Almost surely, 2^{102201112002100} is an apocalyptic number.

102201112002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201112002100 is an abundant number, since it is smaller than the sum of its proper divisors (119865060978188).

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

102201112002100 is a wasteful number, since it uses less digits than its factorization.

102201112002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202105 (or 202098 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102201112002100 its reverse (1200211102201), we get a palindrome (103401323104301).

The spelling of 102201112002100 in words is "one hundred two trillion, two hundred one billion, one hundred twelve million, two thousand, one hundred".