1000100010101 has 2 divisors, whose sum is σ = 1000100010102. Its totient is φ = 1000100010100.

The previous prime is 1000100010097. The next prime is 1000100010139. The reversal of 1000100010101 is 1010100010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 933878707876 + 66221302225 = 966374^2 + 257335^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000100010101 - 2² = 1000100010097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100010191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050005050 + 500050005051.

It is an arithmetic number, because the mean of its divisors is an integer number (500050005051).

Almost surely, 2^{1000100010101} is an apocalyptic number.

It is an amenable number.

1000100010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100010101 is an equidigital number, since it uses as much as digits as its factorization.

1000100010101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1000100010101 its reverse (1010100010001), we get a palindrome (2010200020102).

The spelling of 1000100010101 in words is "one trillion, one hundred million, ten thousand, one hundred one".