101011841916480 has 1344 divisors, whose sum is σ = 409158287193600. Its totient is φ = 23397783552000.

The previous prime is 101011841916467. The next prime is 101011841916497. The reversal of 101011841916480 is 84619148110101.

101011841916480 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 84 + 1 + 91 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31282699506 + ... + 31282702734.

It is an arithmetic number, because the mean of its divisors is an integer number (304433249400).

Almost surely, 2^{101011841916480} is an apocalyptic number.

101011841916480 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 101011841916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204579143596800).

101011841916480 is an abundant number, since it is smaller than the sum of its proper divisors (308146445277120).

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

101011841916480 is a wasteful number, since it uses less digits than its factorization.

101011841916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 101011841916480 in words is "one hundred one trillion, eleven billion, eight hundred forty-one million, nine hundred sixteen thousand, four hundred eighty".