11111011102120 has 64 divisors (see below), whose sum is σ = 26789269993920. Its totient is φ = 4132571649024.

The previous prime is 11111011102117. The next prime is 11111011102141. The reversal of 11111011102120 is 2120111011111.

It is a super-2 number, since 2×11111011102120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11111011102120.

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, 98375622 + ... + 98488501.

It is an arithmetic number, because the mean of its divisors is an integer number (418582343655).

Almost surely, 2^{11111011102120} is an apocalyptic number.

11111011102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11111011102120 is an abundant number, since it is smaller than the sum of its proper divisors (15678258891800).

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

11111011102120 is a wasteful number, since it uses less digits than its factorization.

11111011102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196864234 (or 196864230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11111011102120 its reverse (2120111011111), we get a palindrome (13231122113231).

The spelling of 11111011102120 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred two thousand, one hundred twenty".