110100100009992 has 128 divisors (see below), whose sum is σ = 296465130086400. Its totient is φ = 33948156515328.

The previous prime is 110100100009859. The next prime is 110100100009993. The reversal of 110100100009992 is 299900001001011.

It is not an unprimeable number, because it can be changed into a prime (110100100009993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7413193 + ... + 16587815.

It is an arithmetic number, because the mean of its divisors is an integer number (2316133828800).

Almost surely, 2^{110100100009992} is an apocalyptic number.

110100100009992 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 110100100009992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148232565043200).

110100100009992 is an abundant number, since it is smaller than the sum of its proper divisors (186365030076408).

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

110100100009992 is a wasteful number, since it uses less digits than its factorization.

110100100009992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175155 (or 9175151 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 33.

The spelling of 110100100009992 in words is "one hundred ten trillion, one hundred billion, one hundred million, nine thousand, nine hundred ninety-two".