10000000011120 has 480 divisors, whose sum is σ = 37342348793856. Its totient is φ = 2204978227200.

The previous prime is 10000000011119. The next prime is 10000000011137. The reversal of 10000000011120 is 2111000000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000000011099 and 10000000011108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115522255 + ... + 115608785.

Almost surely, 2^{10000000011120} is an apocalyptic number.

10000000011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000000011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671174396928).

10000000011120 is an abundant number, since it is smaller than the sum of its proper divisors (27342348782736).

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

10000000011120 is a wasteful number, since it uses less digits than its factorization.

10000000011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86909 (or 86896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000000011120 its reverse (2111000000001), we get a palindrome (12111000011121).

The spelling of 10000000011120 in words is "ten trillion, eleven thousand, one hundred twenty".