2100112121311 has 2 divisors, whose sum is σ = 2100112121312. Its totient is φ = 2100112121310.

The previous prime is 2100112121293. The next prime is 2100112121321. The reversal of 2100112121311 is 1131212110012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100112121311 - 2⁵ = 2100112121279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100112121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050056060655 + 1050056060656.

It is an arithmetic number, because the mean of its divisors is an integer number (1050056060656).

Almost surely, 2^{2100112121311} is an apocalyptic number.

2100112121311 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100112121311 is an equidigital number, since it uses as much as digits as its factorization.

2100112121311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2100112121311 its reverse (1131212110012), we get a palindrome (3231324231323).

The spelling of 2100112121311 in words is "two trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, three hundred eleven".