10101122010120 has 64 divisors (see below), whose sum is σ = 30304097965440. Its totient is φ = 2693567475200.

The previous prime is 10101122010073. The next prime is 10101122010143. The reversal of 10101122010120 is 2101022110101.

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 = 10101122010096 and 10101122010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078285 + ... + 6069155.

It is an arithmetic number, because the mean of its divisors is an integer number (473501530710).

Almost surely, 2^{10101122010120} is an apocalyptic number.

10101122010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101122010120 is an abundant number, since it is smaller than the sum of its proper divisors (20202975955320).

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

10101122010120 is a wasteful number, since it uses less digits than its factorization.

10101122010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033166 (or 2033162 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101122010120 its reverse (2101022110101), we get a palindrome (12202144120221).

It can be divided in two parts, 10101 and 122010120, that added together give a palindrome (122020221).

The spelling of 10101122010120 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, ten thousand, one hundred twenty".