100413340101 has 24 divisors (see below), whose sum is σ = 150409935000. Its totient is φ = 64475776512.

The previous prime is 100413340087. The next prime is 100413340189. The reversal of 100413340101 is 101043314001.

It can be written as a sum of positive squares in 4 ways, for example, as 43591176225 + 56822163876 = 208785^2 + 238374^2 .

It is not a de Polignac number, because 100413340101 - 2²⁵ = 100379785669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413340501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363576 + ... + 577073.

It is an arithmetic number, because the mean of its divisors is an integer number (6267080625).

Almost surely, 2^100413340101 is an apocalyptic number.

It is an amenable number.

100413340101 is a deficient number, since it is larger than the sum of its proper divisors (49996594899).

100413340101 is a wasteful number, since it uses less digits than its factorization.

100413340101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941093 (or 941090 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100413340101 its reverse (101043314001), we get a palindrome (201456654102).

The spelling of 100413340101 in words is "one hundred billion, four hundred thirteen million, three hundred forty thousand, one hundred one".