100100000101 has 4 divisors (see below), whose sum is σ = 100100773900. Its totient is φ = 100099226304.

The previous prime is 100100000053. The next prime is 100100000123. The reversal of 100100000101 is 101000001001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 101000001001 = 107 ⋅943925243.

It can be written as a sum of positive squares in 2 ways, for example, as 40712747076 + 59387253025 = 201774^2 + 243695^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100000101 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 (100100000131) 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, 140586 + ... + 469003.

It is an arithmetic number, because the mean of its divisors is an integer number (25025193475).

Almost surely, 2^100100000101 is an apocalyptic number.

It is an amenable number.

100100000101 is a deficient number, since it is larger than the sum of its proper divisors (773799).

100100000101 is an equidigital number, since it uses as much as digits as its factorization.

100100000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773798.

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

Adding to 100100000101 its reverse (101000001001), we get a palindrome (201100001102).

The spelling of 100100000101 in words is "one hundred billion, one hundred million, one hundred one", and thus it is an aban number.