102101002000120 has 16 divisors (see below), whose sum is σ = 229727254500360. Its totient is φ = 40840400800032.

The previous prime is 102101002000093. The next prime is 102101002000139. The reversal of 102101002000120 is 21000200101201.

It is a super-2 number, since 2×102101002000120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102101002000097 and 102101002000106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1276262524962 + ... + 1276262525041.

Almost surely, 2^{102101002000120} is an apocalyptic number.

102101002000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101002000120 is an abundant number, since it is smaller than the sum of its proper divisors (127626252500240).

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

102101002000120 is a wasteful number, since it uses less digits than its factorization.

102101002000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552525050014 (or 2552525050010 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102101002000120 its reverse (21000200101201), we get a palindrome (123101202101321).

The spelling of 102101002000120 in words is "one hundred two trillion, one hundred one billion, two million, one hundred twenty", and thus it is an aban number.