110002122012112 has 160 divisors (see below), whose sum is σ = 252832573929600. Its totient is φ = 45804060672000.

The previous prime is 110002122012049. The next prime is 110002122012113. The reversal of 110002122012112 is 211210221200011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002122012113) 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, 14744464 + ... + 20914192.

It is an arithmetic number, because the mean of its divisors is an integer number (1580203587060).

Almost surely, 2^{110002122012112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110002122012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126416286964800).

110002122012112 is an abundant number, since it is smaller than the sum of its proper divisors (142830451917488).

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

110002122012112 is a wasteful number, since it uses less digits than its factorization.

110002122012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169925 (or 6169919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110002122012112 its reverse (211210221200011), we get a palindrome (321212343212123).

The spelling of 110002122012112 in words is "one hundred ten trillion, two billion, one hundred twenty-two million, twelve thousand, one hundred twelve".