102101102120 has 16 divisors (see below), whose sum is σ = 229727479860. Its totient is φ = 40840440832.

The previous prime is 102101102071. The next prime is 102101102143. The reversal of 102101102120 is 21201101201.

It can be written as a sum of positive squares in 2 ways, for example, as 101688280996 + 412821124 = 318886^2 + 20318^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276263737 + ... + 1276263816.

Almost surely, 2^102101102120 is an apocalyptic number.

102101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101102120 is an abundant number, since it is smaller than the sum of its proper divisors (127626377740).

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

102101102120 is a wasteful number, since it uses less digits than its factorization.

102101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552527564 (or 2552527560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101102120 its reverse (21201101201), we get a palindrome (123302203321).

The spelling of 102101102120 in words is "one hundred two billion, one hundred one million, one hundred two thousand, one hundred twenty".