100100101000101 has 4 divisors (see below), whose sum is σ = 133466801333472. Its totient is φ = 66733400666732.

The previous prime is 100100101000051. The next prime is 100100101000111. The reversal of 100100101000101 is 101000101001001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100100101000101 - 2¹⁴ = 100100100983717 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100100101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100101000111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16683350166681 + ... + 16683350166686.

It is an arithmetic number, because the mean of its divisors is an integer number (33366700333368).

Almost surely, 2^{100100101000101} is an apocalyptic number.

It is an amenable number.

100100101000101 is a deficient number, since it is larger than the sum of its proper divisors (33366700333371).

100100101000101 is an equidigital number, since it uses as much as digits as its factorization.

100100101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33366700333370.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100100101000101 its reverse (101000101001001), we get a palindrome (201100202001102).

The spelling of 100100101000101 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred one", and thus it is an aban number.