2100122102101 has 2 divisors, whose sum is σ = 2100122102102. Its totient is φ = 2100122102100.

The previous prime is 2100122102093. The next prime is 2100122102129. The reversal of 2100122102101 is 1012012210012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1707331609201 + 392790492900 = 1306649^2 + 626730^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122102101 - 2³ = 2100122102093 is a prime.

It is a super-2 number, since 2×2100122102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100122102501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061051050 + 1050061051051.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061051051).

Almost surely, 2^{2100122102101} is an apocalyptic number.

It is an amenable number.

2100122102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122102101 is an equidigital number, since it uses as much as digits as its factorization.

2100122102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100122102101 its reverse (1012012210012), we get a palindrome (3112134312113).

The spelling of 2100122102101 in words is "two trillion, one hundred billion, one hundred twenty-two million, one hundred two thousand, one hundred one".