11012111010120 has 64 divisors (see below), whose sum is σ = 36039636037440. Its totient is φ = 2669602668800.

The previous prime is 11012111010091. The next prime is 11012111010149. The reversal of 11012111010120 is 2101011121011.

It is an interprime number because it is at equal distance from previous prime (11012111010091) and next prime (11012111010149).

It is a super-2 number, since 2×11012111010120² (a number of 27 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 = 11012111010096 and 11012111010105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4171252851 + ... + 4171255490.

It is an arithmetic number, because the mean of its divisors is an integer number (563119313085).

Almost surely, 2^{11012111010120} is an apocalyptic number.

11012111010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012111010120 is an abundant number, since it is smaller than the sum of its proper divisors (25027525027320).

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

11012111010120 is a wasteful number, since it uses less digits than its factorization.

11012111010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342508366 (or 8342508362 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11012111010120 its reverse (2101011121011), we get a palindrome (13113122131131).

The spelling of 11012111010120 in words is "eleven trillion, twelve billion, one hundred eleven million, ten thousand, one hundred twenty".