101110102002112 has 224 divisors, whose sum is σ = 235356678627840. Its totient is φ = 42193185914880.

The previous prime is 101110102002109. The next prime is 101110102002139. The reversal of 101110102002112 is 211200201011101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×101110102002112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110102002092 and 101110102002101.

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, 35390303788 + ... + 35390306644.

It is an arithmetic number, because the mean of its divisors is an integer number (1050699458160).

Almost surely, 2^{101110102002112} 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 101110102002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117678339313920).

101110102002112 is an abundant number, since it is smaller than the sum of its proper divisors (134246576625728).

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

101110102002112 is a wasteful number, since it uses less digits than its factorization.

101110102002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101110102002112 its reverse (211200201011101), we get a palindrome (312310303013213).

The spelling of 101110102002112 in words is "one hundred one trillion, one hundred ten billion, one hundred two million, two thousand, one hundred twelve".