2111100202129 has 2 divisors, whose sum is σ = 2111100202130. Its totient is φ = 2111100202128.

The previous prime is 2111100202009. The next prime is 2111100202223. The reversal of 2111100202129 is 9212020011112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2105792788225 + 5307413904 = 1451135^2 + 72852^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111100202129 - 2²⁷ = 2110965984401 is a prime.

It is a super-2 number, since 2×2111100202129² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2111100203129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055550101064 + 1055550101065.

It is an arithmetic number, because the mean of its divisors is an integer number (1055550101065).

Almost surely, 2^{2111100202129} is an apocalyptic number.

It is an amenable number.

2111100202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111100202129 is an equidigital number, since it uses as much as digits as its factorization.

2111100202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 2111100202129 in words is "two trillion, one hundred eleven billion, one hundred million, two hundred two thousand, one hundred twenty-nine".