2111021100113 has 2 divisors, whose sum is σ = 2111021100114. Its totient is φ = 2111021100112.

The previous prime is 2111021100049. The next prime is 2111021100119. The reversal of 2111021100113 is 3110011201112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1868161375249 + 242859724864 = 1366807^2 + 492808^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111021100113 - 2⁶ = 2111021100049 is a prime.

It is a super-2 number, since 2×2111021100113² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2111021100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055510550056 + 1055510550057.

It is an arithmetic number, because the mean of its divisors is an integer number (1055510550057).

Almost surely, 2^{2111021100113} is an apocalyptic number.

It is an amenable number.

2111021100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111021100113 is an equidigital number, since it uses as much as digits as its factorization.

2111021100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 2111021100113 its reverse (3110011201112), we get a palindrome (5221032301225).

The spelling of 2111021100113 in words is "two trillion, one hundred eleven billion, twenty-one million, one hundred thousand, one hundred thirteen".