1012122101120 has 64 divisors (see below), whose sum is σ = 2605727834640. Its totient is φ = 373706618880.

The previous prime is 1012122101087. The next prime is 1012122101167. The reversal of 1012122101120 is 211012212101.

1012122101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1012122101120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012122101095 and 1012122101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60816326 + ... + 60832965.

Almost surely, 2^{1012122101120} is an apocalyptic number.

1012122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012122101120 is an abundant number, since it is smaller than the sum of its proper divisors (1593605733520).

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

1012122101120 is a wasteful number, since it uses less digits than its factorization.

1012122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121649323 (or 121649311 counting only the distinct ones).

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

Adding to 1012122101120 its reverse (211012212101), we get a palindrome (1223134313221).

The spelling of 1012122101120 in words is "one trillion, twelve billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".