100010010101 has 4 divisors (see below), whose sum is σ = 100010700492. Its totient is φ = 100009319712.

The previous prime is 100010010097. The next prime is 100010010109. The reversal of 100010010101 is 101010010001.

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: 101010010001 = 1181 ⋅85529221.

It can be written as a sum of positive squares in 2 ways, for example, as 72387902500 + 27622107601 = 269050^2 + 166199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010010101 - 2² = 100010010097 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 (100010010109) 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, 34976 + ... + 448601.

It is an arithmetic number, because the mean of its divisors is an integer number (25002675123).

Almost surely, 2^100010010101 is an apocalyptic number.

It is an amenable number.

100010010101 is a deficient number, since it is larger than the sum of its proper divisors (690391).

100010010101 is an equidigital number, since it uses as much as digits as its factorization.

100010010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690390.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100010010101 its reverse (101010010001), we get a palindrome (201020020102).

The spelling of 100010010101 in words is "one hundred billion, ten million, ten thousand, one hundred one".