101102504112 has 120 divisors (see below), whose sum is σ = 285894183744. Its totient is φ = 33350435712.

The previous prime is 101102504099. The next prime is 101102504117. The reversal of 101102504112 is 211405201101.

101102504112 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 250 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101102504117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17300263 + ... + 17306105.

Almost surely, 2^101102504112 is an apocalyptic number.

101102504112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102504112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142947091872).

101102504112 is an abundant number, since it is smaller than the sum of its proper divisors (184791679632).

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

101102504112 is a wasteful number, since it uses less digits than its factorization.

101102504112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7087 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101102504112 its reverse (211405201101), we get a palindrome (312507705213).

The spelling of 101102504112 in words is "one hundred one billion, one hundred two million, five hundred four thousand, one hundred twelve".