101102113112 has 256 divisors, whose sum is σ = 269358566400. Its totient is φ = 34261678080.

The previous prime is 101102113087. The next prime is 101102113117. The reversal of 101102113112 is 211311201101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102113117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29972258 + ... + 29975630.

It is an arithmetic number, because the mean of its divisors is an integer number (1052181900).

Almost surely, 2^101102113112 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 101102113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134679283200).

101102113112 is an abundant number, since it is smaller than the sum of its proper divisors (168256453288).

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

101102113112 is a wasteful number, since it uses less digits than its factorization.

101102113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101102113112 its reverse (211311201101), we get a palindrome (312413314213).

The spelling of 101102113112 in words is "one hundred one billion, one hundred two million, one hundred thirteen thousand, one hundred twelve".