101250998784 has 480 divisors, whose sum is σ = 341768750400. Its totient is φ = 29501521920.

The previous prime is 101250998767. The next prime is 101250998839. The reversal of 101250998784 is 487899052101.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101250998784.

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, 44387724 + ... + 44390004.

It is an arithmetic number, because the mean of its divisors is an integer number (712018230).

Almost surely, 2^101250998784 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 101250998784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170884375200).

101250998784 is an abundant number, since it is smaller than the sum of its proper divisors (240517751616).

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

101250998784 is a wasteful number, since it uses less digits than its factorization.

101250998784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 101250998784 in words is "one hundred one billion, two hundred fifty million, nine hundred ninety-eight thousand, seven hundred eighty-four".