1100001100129 has 2 divisors, whose sum is σ = 1100001100130. Its totient is φ = 1100001100128.

The previous prime is 1100001100127. The next prime is 1100001100189. The reversal of 1100001100129 is 9210011000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012987899729 + 87013200400 = 1006473^2 + 294980^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001100129 - 2¹ = 1100001100127 is a prime.

Together with 1100001100127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100001100123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550000550064 + 550000550065.

It is an arithmetic number, because the mean of its divisors is an integer number (550000550065).

Almost surely, 2^{1100001100129} is an apocalyptic number.

It is an amenable number.

1100001100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100001100129 is an equidigital number, since it uses as much as digits as its factorization.

1100001100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1100001100129 in words is "one trillion, one hundred billion, one million, one hundred thousand, one hundred twenty-nine".