1010111022120 has 64 divisors (see below), whose sum is σ = 3128085757440. Its totient is φ = 260673811200.

The previous prime is 1010111022113. The next prime is 1010111022149. The reversal of 1010111022120 is 212201110101.

It is a super-2 number, since 2×1010111022120² (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 = 1010111022096 and 1010111022105.

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, 135763891 + ... + 135771330.

It is an arithmetic number, because the mean of its divisors is an integer number (48876339960).

Almost surely, 2^{1010111022120} is an apocalyptic number.

1010111022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010111022120 is an abundant number, since it is smaller than the sum of its proper divisors (2117974735320).

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

1010111022120 is a wasteful number, since it uses less digits than its factorization.

1010111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271535266 (or 271535262 counting only the distinct ones).

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

Adding to 1010111022120 its reverse (212201110101), we get a palindrome (1222312132221).

The spelling of 1010111022120 in words is "one trillion, ten billion, one hundred eleven million, twenty-two thousand, one hundred twenty".