1125126611101 has 2 divisors, whose sum is σ = 1125126611102. Its totient is φ = 1125126611100.

The previous prime is 1125126611087. The next prime is 1125126611131. The reversal of 1125126611101 is 1011166215211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 686122305625 + 439004305476 = 828325^2 + 662574^2 .

It is a cyclic number.

It is not a de Polignac number, because 1125126611101 - 2⁵ = 1125126611069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1125126611101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1125126611131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 562563305550 + 562563305551.

It is an arithmetic number, because the mean of its divisors is an integer number (562563305551).

Almost surely, 2^{1125126611101} is an apocalyptic number.

It is an amenable number.

1125126611101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1125126611101 is an equidigital number, since it uses as much as digits as its factorization.

1125126611101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 1125126611101 in words is "one trillion, one hundred twenty-five billion, one hundred twenty-six million, six hundred eleven thousand, one hundred one".