102101120120120 has 96 divisors (see below), whose sum is σ = 266220882582480. Its totient is φ = 34943698821120.

The previous prime is 102101120120089. The next prime is 102101120120143. The reversal of 102101120120120 is 21021021101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101120120095 and 102101120120104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401339969 + ... + 401594288.

Almost surely, 2^{102101120120120} is an apocalyptic number.

102101120120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101120120120 is an abundant number, since it is smaller than the sum of its proper divisors (164119762462360).

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

102101120120120 is a wasteful number, since it uses less digits than its factorization.

102101120120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802934313 (or 802934292 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101120120120 its reverse (21021021101201), we get a palindrome (123122141221321).

The spelling of 102101120120120 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, one hundred twenty thousand, one hundred twenty".