101660019552 has 576 divisors, whose sum is σ = 374485797504. Its totient is φ = 25440583680.

The previous prime is 101660019541. The next prime is 101660019563. The reversal of 101660019552 is 255910066101.

It is an interprime number because it is at equal distance from previous prime (101660019541) and next prime (101660019563).

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

It is a congruent number.

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, 39756258 + ... + 39758814.

It is an arithmetic number, because the mean of its divisors is an integer number (650148954).

Almost surely, 2^101660019552 is an apocalyptic number.

101660019552 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 101660019552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187242898752).

101660019552 is an abundant number, since it is smaller than the sum of its proper divisors (272825777952).

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

101660019552 is a wasteful number, since it uses less digits than its factorization.

101660019552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 101660019552 in words is "one hundred one billion, six hundred sixty million, nineteen thousand, five hundred fifty-two".