1011220110120 has 128 divisors (see below), whose sum is σ = 3309695354880. Its totient is φ = 245125920000.

The previous prime is 1011220110091. The next prime is 1011220110149. The reversal of 1011220110120 is 210110221101.

It is an interprime number because it is at equal distance from previous prime (1011220110091) and next prime (1011220110149).

It is a super-2 number, since 2×1011220110120² (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 = 1011220110096 and 1011220110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27954045 + ... + 27990195.

It is an arithmetic number, because the mean of its divisors is an integer number (25856994960).

Almost surely, 2^{1011220110120} is an apocalyptic number.

1011220110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011220110120 is an abundant number, since it is smaller than the sum of its proper divisors (2298475244760).

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

1011220110120 is a wasteful number, since it uses less digits than its factorization.

1011220110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57367 (or 57363 counting only the distinct ones).

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

Adding to 1011220110120 its reverse (210110221101), we get a palindrome (1221330331221).

It can be divided in two parts, 101 and 1220110120, that added together give a palindrome (1220110221).

The spelling of 1011220110120 in words is "one trillion, eleven billion, two hundred twenty million, one hundred ten thousand, one hundred twenty".