101251882640880 has 240 divisors, whose sum is σ = 352681641617760. Its totient is φ = 26996667116544.

The previous prime is 101251882640849. The next prime is 101251882640893. The reversal of 101251882640880 is 88046288152101.

101251882640880 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 518 + 8 + 2 + 6 + 40 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137832634 + ... + 138565286.

It is an arithmetic number, because the mean of its divisors is an integer number (1469506840074).

Almost surely, 2^{101251882640880} is an apocalyptic number.

101251882640880 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 101251882640880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176340820808880).

101251882640880 is an abundant number, since it is smaller than the sum of its proper divisors (251429758976880).

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

101251882640880 is an equidigital number, since it uses as much as digits as its factorization.

101251882640880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739790 (or 739772 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 101251882640880 in words is "one hundred one trillion, two hundred fifty-one billion, eight hundred eighty-two million, six hundred forty thousand, eight hundred eighty".