10100120022120 has 64 divisors (see below), whose sum is σ = 30300757704000. Its totient is φ = 2693329993728.

The previous prime is 10100120022089. The next prime is 10100120022143. The reversal of 10100120022120 is 2122002100101.

It is a super-2 number, since 2×10100120022120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10100120022096 and 10100120022105.

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, 9369576 + ... + 10391784.

It is an arithmetic number, because the mean of its divisors is an integer number (473449339125).

Almost surely, 2^{10100120022120} is an apocalyptic number.

10100120022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100120022120 is an abundant number, since it is smaller than the sum of its proper divisors (20200637681880).

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

10100120022120 is a wasteful number, since it uses less digits than its factorization.

10100120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104562 (or 1104558 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100120022120 its reverse (2122002100101), we get a palindrome (12222122122221).

The spelling of 10100120022120 in words is "ten trillion, one hundred billion, one hundred twenty million, twenty-two thousand, one hundred twenty".