110102011022112 has 192 divisors, whose sum is σ = 301810065137280. Its totient is φ = 35100248408064.

The previous prime is 110102011022093. The next prime is 110102011022177. The reversal of 110102011022112 is 211220110201011.

It is a happy number.

It is a super-2 number, since 2×110102011022112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110102011022091 and 110102011022100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4776026778 + ... + 4776049830.

It is an arithmetic number, because the mean of its divisors is an integer number (1571927422590).

Almost surely, 2^{110102011022112} is an apocalyptic number.

110102011022112 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 110102011022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150905032568640).

110102011022112 is an abundant number, since it is smaller than the sum of its proper divisors (191708054115168).

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

110102011022112 is a wasteful number, since it uses less digits than its factorization.

110102011022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39235 (or 39227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110102011022112 its reverse (211220110201011), we get a palindrome (321322121223123).

The spelling of 110102011022112 in words is "one hundred ten trillion, one hundred two billion, eleven million, twenty-two thousand, one hundred twelve".