101796202872 has 768 divisors, whose sum is σ = 389321856000. Its totient is φ = 24314121216.

The previous prime is 101796202819. The next prime is 101796202873. The reversal of 101796202872 is 278202697101.

It is a happy number.

101796202872 is a `hidden beast` number, since 1 + 0 + 17 + 9 + 620 + 2 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101796202873) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60126858 + ... + 60128550.

It is an arithmetic number, because the mean of its divisors is an integer number (506929500).

Almost surely, 2^101796202872 is an apocalyptic number.

101796202872 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 101796202872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194660928000).

101796202872 is an abundant number, since it is smaller than the sum of its proper divisors (287525653128).

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

101796202872 is a wasteful number, since it uses less digits than its factorization.

101796202872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 101796202872 its reverse (278202697101), we get a palindrome (379998899973).

The spelling of 101796202872 in words is "one hundred one billion, seven hundred ninety-six million, two hundred two thousand, eight hundred seventy-two".