102120000122120 has 128 divisors (see below), whose sum is σ = 234143813600640. Its totient is φ = 40077888614400.

The previous prime is 102120000122113. The next prime is 102120000122143. The reversal of 102120000122120 is 21221000021201.

It is a junction number, because it is equal to n+sod(n) for n = 102120000122095 and 102120000122104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2733166559 + ... + 2733203921.

It is an arithmetic number, because the mean of its divisors is an integer number (1829248543755).

Almost surely, 2^{102120000122120} is an apocalyptic number.

102120000122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120000122120 is an abundant number, since it is smaller than the sum of its proper divisors (132023813478520).

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

102120000122120 is a wasteful number, since it uses less digits than its factorization.

102120000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43575 (or 43571 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120000122120 its reverse (21221000021201), we get a palindrome (123341000143321).

The spelling of 102120000122120 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty-two thousand, one hundred twenty".