11022110102120 has 64 divisors (see below), whose sum is σ = 26728805250000. Its totient is φ = 4066443583488.

The previous prime is 11022110102117. The next prime is 11022110102137. The reversal of 11022110102120 is 2120101122011.

It can be written as a sum of positive squares in 8 ways, for example, as 4693574929156 + 6328535172964 = 2166466^2 + 2515658^2 .

It is a super-2 number, since 2×11022110102120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022110102095 and 11022110102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835855 + ... + 9134814.

Almost surely, 2^{11022110102120} is an apocalyptic number.

11022110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022110102120 is an abundant number, since it is smaller than the sum of its proper divisors (15706695147880).

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

11022110102120 is a wasteful number, since it uses less digits than its factorization.

11022110102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16971942 (or 16971938 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11022110102120 its reverse (2120101122011), we get a palindrome (13142211224131).

The spelling of 11022110102120 in words is "eleven trillion, twenty-two billion, one hundred ten million, one hundred two thousand, one hundred twenty".