2100122211701 has 2 divisors, whose sum is σ = 2100122211702. Its totient is φ = 2100122211700.

The previous prime is 2100122211689. The next prime is 2100122211703. The reversal of 2100122211701 is 1071122210012.

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., 1769301682801 + 330820528900 = 1330151^2 + 575170^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122211701 - 2²⁶ = 2100055102837 is a prime.

It is a super-3 number, since 3×2100122211701³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2100122211703, 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 (2100122211703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061105850 + 1050061105851.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061105851).

Almost surely, 2^{2100122211701} is an apocalyptic number.

It is an amenable number.

2100122211701 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122211701 is an equidigital number, since it uses as much as digits as its factorization.

2100122211701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2100122211701 its reverse (1071122210012), we get a palindrome (3171244421713).

The spelling of 2100122211701 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred eleven thousand, seven hundred one".