102102100002120 has 64 divisors (see below), whose sum is σ = 306307224144000. Its totient is φ = 27227144521728.

The previous prime is 102102100002061. The next prime is 102102100002181. The reversal of 102102100002120 is 21200001201201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102102100002096 and 102102100002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45833061 + ... + 48009099.

It is an arithmetic number, because the mean of its divisors is an integer number (4786050377250).

Almost surely, 2^{102102100002120} is an apocalyptic number.

102102100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102100002120 is an abundant number, since it is smaller than the sum of its proper divisors (204205124141880).

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

102102100002120 is a wasteful number, since it uses less digits than its factorization.

102102100002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567062 (or 2567058 counting only the distinct ones).

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

Adding to 102102100002120 its reverse (21200001201201), we get a palindrome (123302101203321).

The spelling of 102102100002120 in words is "one hundred two trillion, one hundred two billion, one hundred million, two thousand, one hundred twenty".