110102112102112 has 192 divisors, whose sum is σ = 255176686485504. Its totient is φ = 46278145105920.

The previous prime is 110102112102109. The next prime is 110102112102167. The reversal of 110102112102112 is 211201211201011.

It is a super-3 number, since 3×110102112102112³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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, 1872869583 + ... + 1872928369.

It is an arithmetic number, because the mean of its divisors is an integer number (1329045242112).

Almost surely, 2^{110102112102112} 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 110102112102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127588343242752).

110102112102112 is an abundant number, since it is smaller than the sum of its proper divisors (145074574383392).

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

110102112102112 is a wasteful number, since it uses less digits than its factorization.

110102112102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67401 (or 67393 counting only the distinct ones).

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

Adding to 110102112102112 its reverse (211201211201011), we get a palindrome (321303323303123).

The spelling of 110102112102112 in words is "one hundred ten trillion, one hundred two billion, one hundred twelve million, one hundred two thousand, one hundred twelve".