101898720231840 has 576 divisors, whose sum is σ = 402271583890176. Its totient is φ = 23006025547776.

The previous prime is 101898720231839. The next prime is 101898720231859. The reversal of 101898720231840 is 48132027898101.

101898720231840 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 9 + 87 + 202 + 318 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6238816314 + ... + 6238832646.

It is an arithmetic number, because the mean of its divisors is an integer number (698388166476).

Almost surely, 2^{101898720231840} is an apocalyptic number.

101898720231840 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 101898720231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201135791945088).

101898720231840 is an abundant number, since it is smaller than the sum of its proper divisors (300372863658336).

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

101898720231840 is a wasteful number, since it uses less digits than its factorization.

101898720231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901 (or 23890 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 101898720231840 in words is "one hundred one trillion, eight hundred ninety-eight billion, seven hundred twenty million, two hundred thirty-one thousand, eight hundred forty".