101010020000120 has 192 divisors, whose sum is σ = 302293479176640. Its totient is φ = 29631663452160.

The previous prime is 101010020000119. The next prime is 101010020000167. The reversal of 101010020000120 is 21000020010101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101010020000098 and 101010020000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87112439 + ... + 88264358.

It is an arithmetic number, because the mean of its divisors is an integer number (1574445204045).

Almost surely, 2^{101010020000120} is an apocalyptic number.

101010020000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010020000120 is an abundant number, since it is smaller than the sum of its proper divisors (201283459176520).

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

101010020000120 is a wasteful number, since it uses less digits than its factorization.

101010020000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175376854 (or 175376839 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101010020000120 its reverse (21000020010101), we get a palindrome (122010040010221).

The spelling of 101010020000120 in words is "one hundred one trillion, ten billion, twenty million, one hundred twenty", and thus it is an aban number.