101102322112 has 112 divisors (see below), whose sum is σ = 230692147200. Its totient is φ = 43478415360.

The previous prime is 101102322047. The next prime is 101102322119. The reversal of 101102322112 is 211223201101.

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 (101102322119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10816513 + ... + 10825855.

Almost surely, 2^101102322112 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 101102322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115346073600).

101102322112 is an abundant number, since it is smaller than the sum of its proper divisors (129589825088).

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

101102322112 is a wasteful number, since it uses less digits than its factorization.

101102322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101102322112 its reverse (211223201101), we get a palindrome (312325523213).

The spelling of 101102322112 in words is "one hundred one billion, one hundred two million, three hundred twenty-two thousand, one hundred twelve".