100102414013 has 16 divisors (see below), whose sum is σ = 120360463104. Its totient is φ = 81446912640.

The previous prime is 100102414007. The next prime is 100102414021. The reversal of 100102414013 is 310414201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102414013 - 2²² = 100098219709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100102413982 and 100102414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102414043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4702745 + ... + 4723982.

It is an arithmetic number, because the mean of its divisors is an integer number (7522528944).

Almost surely, 2^100102414013 is an apocalyptic number.

It is an amenable number.

100102414013 is a deficient number, since it is larger than the sum of its proper divisors (20258049091).

100102414013 is an equidigital number, since it uses as much as digits as its factorization.

100102414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426812.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 100102414013 its reverse (310414201001), we get a palindrome (410516615014).

The spelling of 100102414013 in words is "one hundred billion, one hundred two million, four hundred fourteen thousand, thirteen".