10210122110120 has 64 divisors (see below), whose sum is σ = 23457452746320. Its totient is φ = 3998700601344.

The previous prime is 10210122110087. The next prime is 10210122110137. The reversal of 10210122110120 is 2101122101201.

It can be written as a sum of positive squares in 8 ways, for example, as 8754532945636 + 1455589164484 = 2958806^2 + 1206478^2 .

It is a super-2 number, since 2×10210122110120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210122110095 and 10210122110104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12361337 + ... + 13161416.

Almost surely, 2^{10210122110120} is an apocalyptic number.

10210122110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210122110120 is an abundant number, since it is smaller than the sum of its proper divisors (13247330636200).

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

10210122110120 is a wasteful number, since it uses less digits than its factorization.

10210122110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25522974 (or 25522970 counting only the distinct ones).

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

Adding to 10210122110120 its reverse (2101122101201), we get a palindrome (12311244211321).

The spelling of 10210122110120 in words is "ten trillion, two hundred ten billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".