101045328631249 has 2 divisors, whose sum is σ = 101045328631250. Its totient is φ = 101045328631248.

The previous prime is 101045328631187. The next prime is 101045328631259. The reversal of 101045328631249 is 942136823540101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63143365838400 + 37901962792849 = 7946280^2 + 6156457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101045328631249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101045328631259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50522664315624 + 50522664315625.

It is an arithmetic number, because the mean of its divisors is an integer number (50522664315625).

Almost surely, 2^{101045328631249} is an apocalyptic number.

It is an amenable number.

101045328631249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101045328631249 is an equidigital number, since it uses as much as digits as its factorization.

101045328631249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 101045328631249 in words is "one hundred one trillion, forty-five billion, three hundred twenty-eight million, six hundred thirty-one thousand, two hundred forty-nine".