100900010100101 has 8 divisors (see below), whose sum is σ = 100917233448024. Its totient is φ = 100882787765760.

The previous prime is 100900010100053. The next prime is 100900010100133. The reversal of 100900010100101 is 101001010009001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9743325244900 + 91156684855201 = 3121430^2 + 9547601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100900010100101 - 2³⁰ = 100898936358277 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 (100900010100151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214147691 + ... + 214618343.

It is an arithmetic number, because the mean of its divisors is an integer number (12614654181003).

Almost surely, 2^{100900010100101} is an apocalyptic number.

It is an amenable number.

100900010100101 is a deficient number, since it is larger than the sum of its proper divisors (17223347923).

100900010100101 is an equidigital number, since it uses as much as digits as its factorization.

100900010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506791.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 100900010100101 its reverse (101001010009001), we get a palindrome (201901020109102).

The spelling of 100900010100101 in words is "one hundred trillion, nine hundred billion, ten million, one hundred thousand, one hundred one".