101237344922880 has 864 divisors, whose sum is σ = 385021958840064. Its totient is φ = 25381437308928.

The previous prime is 101237344922821. The next prime is 101237344922947. The reversal of 101237344922880 is 88229443732101.

101237344922880 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 73 + 4 + 492 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5197779702 + ... + 5197799178.

It is an arithmetic number, because the mean of its divisors is an integer number (445627267176).

Almost surely, 2^{101237344922880} is an apocalyptic number.

101237344922880 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 101237344922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192510979420032).

101237344922880 is an abundant number, since it is smaller than the sum of its proper divisors (283784613917184).

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

101237344922880 is an equidigital number, since it uses as much as digits as its factorization.

101237344922880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20513 (or 20487 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 101237344922880 in words is "one hundred one trillion, two hundred thirty-seven billion, three hundred forty-four million, nine hundred twenty-two thousand, eight hundred eighty".