101812246272 has 360 divisors, whose sum is σ = 332997033600. Its totient is φ = 30683473920.

The previous prime is 101812246267. The next prime is 101812246273. The reversal of 101812246272 is 272642218101.

101812246272 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 2 + 24 + 627 + 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 not an unprimeable number, because it can be changed into a prime (101812246273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45389983 + ... + 45392225.

It is an arithmetic number, because the mean of its divisors is an integer number (924991760).

Almost surely, 2^101812246272 is an apocalyptic number.

101812246272 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 101812246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166498516800).

101812246272 is an abundant number, since it is smaller than the sum of its proper divisors (231184787328).

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

101812246272 is a wasteful number, since it uses less digits than its factorization.

101812246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 101812246272 in words is "one hundred one billion, eight hundred twelve million, two hundred forty-six thousand, two hundred seventy-two".