2100101001101 has 2 divisors, whose sum is σ = 2100101001102. Its totient is φ = 2100101001100.

The previous prime is 2100101001077. The next prime is 2100101001107. The reversal of 2100101001101 is 1011001010012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2085499903876 + 14601097225 = 1444126^2 + 120835^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100101001101 - 2³⁸ = 1825223094157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100101001107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050500550 + 1050050500551.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050500551).

Almost surely, 2^{2100101001101} is an apocalyptic number.

It is an amenable number.

2100101001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100101001101 is an equidigital number, since it uses as much as digits as its factorization.

2100101001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2100101001101 its reverse (1011001010012), we get a palindrome (3111102011113).

The spelling of 2100101001101 in words is "two trillion, one hundred billion, one hundred one million, one thousand, one hundred one".