101083272192 has 528 divisors, whose sum is σ = 349354317312. Its totient is φ = 28595773440.

The previous prime is 101083272187. The next prime is 101083272209. The reversal of 101083272192 is 291272380101.

101083272192 is a `hidden beast` number, since 10 + 108 + 327 + 219 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228178723 + ... + 228179165.

It is an arithmetic number, because the mean of its divisors is an integer number (661655904).

Almost surely, 2^101083272192 is an apocalyptic number.

101083272192 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 101083272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174677158656).

101083272192 is an abundant number, since it is smaller than the sum of its proper divisors (248271045120).

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

101083272192 is an equidigital number, since it uses as much as digits as its factorization.

101083272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 101083272192 in words is "one hundred one billion, eighty-three million, two hundred seventy-two thousand, one hundred ninety-two".