101959397580040 has 1024 divisors, whose sum is σ = 330643482624000. Its totient is φ = 27245611008000.

The previous prime is 101959397580031. The next prime is 101959397580049. The reversal of 101959397580040 is 40085793959101.

It is an interprime number because it is at equal distance from previous prime (101959397580031) and next prime (101959397580049).

It is not an unprimeable number, because it can be changed into a prime (101959397580049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9776521546 + ... + 9776531974.

It is an arithmetic number, because the mean of its divisors is an integer number (322894026000).

Almost surely, 2^{101959397580040} is an apocalyptic number.

101959397580040 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 101959397580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165321741312000).

101959397580040 is an abundant number, since it is smaller than the sum of its proper divisors (228684085043960).

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

101959397580040 is a wasteful number, since it uses less digits than its factorization.

101959397580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10738 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 61.

The spelling of 101959397580040 in words is "one hundred one trillion, nine hundred fifty-nine billion, three hundred ninety-seven million, five hundred eighty thousand, forty".