101961460224 has 240 divisors, whose sum is σ = 320737408992. Its totient is φ = 30993260544.

The previous prime is 101961460219. The next prime is 101961460259. The reversal of 101961460224 is 422064169101.

101961460224 is a `hidden beast` number, since 1 + 0 + 19 + 6 + 14 + 602 + 24 = 666.

It is a super-2 number, since 2×101961460224² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4961779 + ... + 4982285.

Almost surely, 2^101961460224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101961460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160368704496).

101961460224 is an abundant number, since it is smaller than the sum of its proper divisors (218775948768).

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

101961460224 is a wasteful number, since it uses less digits than its factorization.

101961460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20627 (or 20608 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 101961460224 in words is "one hundred one billion, nine hundred sixty-one million, four hundred sixty thousand, two hundred twenty-four".