21111003311129 has 2 divisors, whose sum is σ = 21111003311130. Its totient is φ = 21111003311128.

The previous prime is 21111003311087. The next prime is 21111003311147. The reversal of 21111003311129 is 92111330011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21098193598729 + 12809712400 = 4593277^2 + 113180^2 .

It is a cyclic number.

It is not a de Polignac number, because 21111003311129 - 2²⁸ = 21110734875673 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21111003311098 and 21111003311107.

It is not a weakly prime, because it can be changed into another prime (21111003311429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555501655564 + 10555501655565.

It is an arithmetic number, because the mean of its divisors is an integer number (10555501655565).

Almost surely, 2^{21111003311129} is an apocalyptic number.

It is an amenable number.

21111003311129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111003311129 is an equidigital number, since it uses as much as digits as its factorization.

21111003311129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 21111003311129 in words is "twenty-one trillion, one hundred eleven billion, three million, three hundred eleven thousand, one hundred twenty-nine".