11101000211129 has 2 divisors, whose sum is σ = 11101000211130. Its totient is φ = 11101000211128.

The previous prime is 11101000211011. The next prime is 11101000211131. The reversal of 11101000211129 is 92111200010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10333138830400 + 767861380729 = 3214520^2 + 876277^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101000211129 - 2¹⁶ = 11101000145593 is a prime.

It is a super-2 number, since 2×11101000211129² (a number of 27 digits) contains 22 as substring.

Together with 11101000211131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11101000211129.

It is not a weakly prime, because it can be changed into another prime (11101000211149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550500105564 + 5550500105565.

It is an arithmetic number, because the mean of its divisors is an integer number (5550500105565).

Almost surely, 2^{11101000211129} is an apocalyptic number.

It is an amenable number.

11101000211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101000211129 is an equidigital number, since it uses as much as digits as its factorization.

11101000211129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 11101000211129 in words is "eleven trillion, one hundred one billion, two hundred eleven thousand, one hundred twenty-nine".