10110100112112 has 480 divisors, whose sum is σ = 36040812240384. Its totient is φ = 2358471168000.

The previous prime is 10110100112107. The next prime is 10110100112143. The reversal of 10110100112112 is 21121100101101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 65700862 + ... + 65854562.

Almost surely, 2^{10110100112112} is an apocalyptic number.

10110100112112 is a gapful number since it is divisible by the number (12) 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 10110100112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020406120192).

10110100112112 is an abundant number, since it is smaller than the sum of its proper divisors (25930712128272).

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

10110100112112 is a wasteful number, since it uses less digits than its factorization.

10110100112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153817 (or 153774 counting only the distinct ones).

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

Adding to 10110100112112 its reverse (21121100101101), we get a palindrome (31231200213213).

The spelling of 10110100112112 in words is "ten trillion, one hundred ten billion, one hundred million, one hundred twelve thousand, one hundred twelve".