100000100101 has 16 divisors (see below), whose sum is σ = 111038773248. Its totient is φ = 89300232000.

The previous prime is 100000100087. The next prime is 100000100113. The reversal of 100000100101 is 101001000001.

It is a cyclic number.

It is not a de Polignac number, because 100000100101 - 2¹⁷ = 99999969029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000100131) 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, 213270 + ... + 495463.

It is an arithmetic number, because the mean of its divisors is an integer number (6939923328).

Almost surely, 2^100000100101 is an apocalyptic number.

100000100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100000100101 is a deficient number, since it is larger than the sum of its proper divisors (11038673147).

100000100101 is a wasteful number, since it uses less digits than its factorization.

100000100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708972.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 100000100101 its reverse (101001000001), we get a palindrome (201001100102).

The spelling of 100000100101 in words is "one hundred billion, one hundred thousand, one hundred one".