101021086447008 has 768 divisors, whose sum is σ = 357886576696320. Its totient is φ = 24184209014784.

The previous prime is 101021086446967. The next prime is 101021086447063. The reversal of 101021086447008 is 800744680120101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4035504060 + ... + 4035529092.

It is an arithmetic number, because the mean of its divisors is an integer number (465998146740).

Almost surely, 2^{101021086447008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021086447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178943288348160).

101021086447008 is an abundant number, since it is smaller than the sum of its proper divisors (256865490249312).

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

101021086447008 is a wasteful number, since it uses less digits than its factorization.

101021086447008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26049 (or 26041 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 101021086447008 in words is "one hundred one trillion, twenty-one billion, eighty-six million, four hundred forty-seven thousand, eight".