101561340672 has 648 divisors, whose sum is σ = 347587269120. Its totient is φ = 29314897920.

The previous prime is 101561340611. The next prime is 101561340679. The reversal of 101561340672 is 276043165101.

101561340672 is a `hidden beast` number, since 1 + 0 + 1 + 561 + 34 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×101561340672³ (a number of 34 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101561340679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424942729 + ... + 424942967.

Almost surely, 2^101561340672 is an apocalyptic number.

101561340672 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 101561340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173793634560).

101561340672 is an abundant number, since it is smaller than the sum of its proper divisors (246025928448).

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

101561340672 is an frugal number, since it uses more digits than its factorization.

101561340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 101561340672 in words is "one hundred one billion, five hundred sixty-one million, three hundred forty thousand, six hundred seventy-two".