101621622960 has 480 divisors, whose sum is σ = 402000895296. Its totient is φ = 22680576000.

The previous prime is 101621622943. The next prime is 101621623009. The reversal of 101621622960 is 69226126101.

101621622960 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 21 + 622 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47463490 + ... + 47465630.

Almost surely, 2^101621622960 is an apocalyptic number.

101621622960 is a gapful number since it is divisible by the number (10) 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 101621622960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201000447648).

101621622960 is an abundant number, since it is smaller than the sum of its proper divisors (300379272336).

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

101621622960 is a wasteful number, since it uses less digits than its factorization.

101621622960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 101621622960 in words is "one hundred one billion, six hundred twenty-one million, six hundred twenty-two thousand, nine hundred sixty".