1011221010120 has 32 divisors (see below), whose sum is σ = 3033663030720. Its totient is φ = 269658936000.

The previous prime is 1011221010103. The next prime is 1011221010181. The reversal of 1011221010120 is 210101221101.

1011221010120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011221010120² (a number of 25 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 = 1011221010096 and 1011221010105.

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, 4213420756 + ... + 4213420995.

It is an arithmetic number, because the mean of its divisors is an integer number (94801969710).

Almost surely, 2^{1011221010120} is an apocalyptic number.

1011221010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011221010120 is an abundant number, since it is smaller than the sum of its proper divisors (2022442020600).

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

1011221010120 is a wasteful number, since it uses less digits than its factorization.

1011221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8426841765 (or 8426841761 counting only the distinct ones).

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

Adding to 1011221010120 its reverse (210101221101), we get a palindrome (1221322231221).

The spelling of 1011221010120 in words is "one trillion, eleven billion, two hundred twenty-one million, ten thousand, one hundred twenty".