101110002192 has 70 divisors (see below), whose sum is σ = 293716615182. Its totient is φ = 33703330176.

The previous prime is 101110002167. The next prime is 101110002241. The reversal of 101110002192 is 291200011101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61060386816 + 40049615376 = 247104^2 + 200124^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4322613 + ... + 4345940.

Almost surely, 2^101110002192 is an apocalyptic number.

101110002192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110002192 is an abundant number, since it is smaller than the sum of its proper divisors (192606612990).

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

101110002192 is an frugal number, since it uses more digits than its factorization.

101110002192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668579 (or 8668558 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 101110002192 its reverse (291200011101), we get a palindrome (392310013293).

The spelling of 101110002192 in words is "one hundred one billion, one hundred ten million, two thousand, one hundred ninety-two".