10111100211120 has 40 divisors (see below), whose sum is σ = 31344410655216. Its totient is φ = 2696293389568.

The previous prime is 10111100211103. The next prime is 10111100211137. The reversal of 10111100211120 is 2111200111101.

It is an interprime number because it is at equal distance from previous prime (10111100211103) and next prime (10111100211137).

It is a tau number, because it is divible by the number of its divisors (40).

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 = 10111100211096 and 10111100211105.

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 7 ways as a sum of consecutive naturals, for example, 21064791867 + ... + 21064792346.

Almost surely, 2^{10111100211120} is an apocalyptic number.

10111100211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111100211120 is an abundant number, since it is smaller than the sum of its proper divisors (21233310444096).

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

10111100211120 is a wasteful number, since it uses less digits than its factorization.

10111100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42129584229 (or 42129584223 counting only the distinct ones).

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

Adding to 10111100211120 its reverse (2111200111101), we get a palindrome (12222300322221).

The spelling of 10111100211120 in words is "ten trillion, one hundred eleven billion, one hundred million, two hundred eleven thousand, one hundred twenty".