100900901 has 2 divisors, whose sum is σ = 100900902. Its totient is φ = 100900900.

The previous prime is 100900897. The next prime is 100900903. The reversal of 100900901 is 109009001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66031876 + 34869025 = 8126^2 + 5905^2 .

It is an emirp because it is prime and its reverse (109009001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100900901 - 2² = 100900897 is a prime.

It is a super-2 number, since 2×100900901² = 20361983645223602, which contains 22 as substring.

Together with 100900903, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100900903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50450450 + 50450451.

It is an arithmetic number, because the mean of its divisors is an integer number (50450451).

Almost surely, 2^100900901 is an apocalyptic number.

It is an amenable number.

100900901 is a deficient number, since it is larger than the sum of its proper divisors (1).

100900901 is an equidigital number, since it uses as much as digits as its factorization.

100900901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 100900901 is about 10044.9440516112. The cubic root of 100900901 is about 465.5485890619.

Adding to 100900901 its reverse (109009001), we get a palindrome (209909902).

The spelling of 100900901 in words is "one hundred million, nine hundred thousand, nine hundred one".