102100212001120 has 48 divisors (see below), whose sum is σ = 253907106168240. Its totient is φ = 38690606651904.

The previous prime is 102100212001057. The next prime is 102100212001141. The reversal of 102100212001120 is 21100212001201.

It is a self number, because there is not a number n which added to its sum of digits gives 102100212001120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16792794987 + ... + 16792801066.

It is an arithmetic number, because the mean of its divisors is an integer number (5289731378505).

Almost surely, 2^{102100212001120} is an apocalyptic number.

102100212001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100212001120 is an abundant number, since it is smaller than the sum of its proper divisors (151806894167120).

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

102100212001120 is a wasteful number, since it uses less digits than its factorization.

102100212001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33585596087 (or 33585596079 counting only the distinct ones).

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

Adding to 102100212001120 its reverse (21100212001201), we get a palindrome (123200424002321).

The spelling of 102100212001120 in words is "one hundred two trillion, one hundred billion, two hundred twelve million, one thousand, one hundred twenty".