101564882989920 has 2592 divisors, whose sum is σ = 459537898790880. Its totient is φ = 21092513218560.

The previous prime is 101564882989879. The next prime is 101564882989939. The reversal of 101564882989920 is 29989288465101.

101564882989920 is a `hidden beast` number, since 1 + 0 + 1 + 56 + 488 + 2 + 9 + 8 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×101564882989920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15966807540 + ... + 15966813900.

It is an arithmetic number, because the mean of its divisors is an integer number (177290856015).

Almost surely, 2^{101564882989920} is an apocalyptic number.

101564882989920 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 101564882989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229768949395440).

101564882989920 is an abundant number, since it is smaller than the sum of its proper divisors (357973015800960).

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

101564882989920 is a wasteful number, since it uses less digits than its factorization.

101564882989920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 101564882989920 in words is "one hundred one trillion, five hundred sixty-four billion, eight hundred eighty-two million, nine hundred eighty-nine thousand, nine hundred twenty".