10111102112112 has 80 divisors (see below), whose sum is σ = 26728574737920. Its totient is φ = 3291890950656.

The previous prime is 10111102112081. The next prime is 10111102112161. The reversal of 10111102112112 is 21121120111101.

It is a junction number, because it is equal to n+sod(n) for n = 10111102112091 and 10111102112100.

It is a congruent number.

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, 119337348 + ... + 119422044.

It is an arithmetic number, because the mean of its divisors is an integer number (334107184224).

Almost surely, 2^{10111102112112} is an apocalyptic number.

10111102112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10111102112112 is an abundant number, since it is smaller than the sum of its proper divisors (16617472625808).

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

10111102112112 is a wasteful number, since it uses less digits than its factorization.

10111102112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142590 (or 142584 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10111102112112 its reverse (21121120111101), we get a palindrome (31232222223213).

The spelling of 10111102112112 in words is "ten trillion, one hundred eleven billion, one hundred two million, one hundred twelve thousand, one hundred twelve".