101012415042399 has 8 divisors (see below), whose sum is σ = 153923680064640. Its totient is φ = 57721380024216.

The previous prime is 101012415042391. The next prime is 101012415042433. The reversal of 101012415042399 is 993240514210101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101012415042399 - 2³ = 101012415042391 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012415042399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012415042391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2405057500989 + ... + 2405057501030.

It is an arithmetic number, because the mean of its divisors is an integer number (19240460008080).

Almost surely, 2^{101012415042399} is an apocalyptic number.

101012415042399 is a deficient number, since it is larger than the sum of its proper divisors (52911265022241).

101012415042399 is an equidigital number, since it uses as much as digits as its factorization.

101012415042399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810115002029.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 101012415042399 in words is "one hundred one trillion, twelve billion, four hundred fifteen million, forty-two thousand, three hundred ninety-nine".