100000010033101 has 2 divisors, whose sum is σ = 100000010033102. Its totient is φ = 100000010033100.

The previous prime is 100000010033093. The next prime is 100000010033107. The reversal of 100000010033101 is 101330010000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58116151326025 + 41883858707076 = 7623395^2 + 6471774^2 .

It is a cyclic number.

It is not a de Polignac number, because 100000010033101 - 2³ = 100000010033093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100000010033107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000005016550 + 50000005016551.

It is an arithmetic number, because the mean of its divisors is an integer number (50000005016551).

Almost surely, 2^{100000010033101} is an apocalyptic number.

It is an amenable number.

100000010033101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000010033101 is an equidigital number, since it uses as much as digits as its factorization.

100000010033101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100000010033101 its reverse (101330010000001), we get a palindrome (201330020033102).

The spelling of 100000010033101 in words is "one hundred trillion, ten million, thirty-three thousand, one hundred one".