10112110211120 has 80 divisors (see below), whose sum is σ = 23629682737440. Its totient is φ = 4024393070592.

The previous prime is 10112110211113. The next prime is 10112110211171. The reversal of 10112110211120 is 2111201121101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10112110211095 and 10112110211104.

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, 24154946 + ... + 24570014.

It is an arithmetic number, because the mean of its divisors is an integer number (295371034218).

Almost surely, 2^{10112110211120} is an apocalyptic number.

10112110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112110211120 is an abundant number, since it is smaller than the sum of its proper divisors (13517572526320).

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

10112110211120 is a wasteful number, since it uses less digits than its factorization.

10112110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416622 (or 416616 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10112110211120 its reverse (2111201121101), we get a palindrome (12223311332221).

The spelling of 10112110211120 in words is "ten trillion, one hundred twelve billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".