101116506001001 has 2 divisors, whose sum is σ = 101116506001002. Its totient is φ = 101116506001000.

The previous prime is 101116506000953. The next prime is 101116506001009. The reversal of 101116506001001 is 100100605611101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98657019525376 + 2459486475625 = 9932624^2 + 1568275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101116506001001 is a prime.

It is not a weakly prime, because it can be changed into another prime (101116506001009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50558253000500 + 50558253000501.

It is an arithmetic number, because the mean of its divisors is an integer number (50558253000501).

Almost surely, 2^{101116506001001} is an apocalyptic number.

It is an amenable number.

101116506001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101116506001001 is an equidigital number, since it uses as much as digits as its factorization.

101116506001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 101116506001001 in words is "one hundred one trillion, one hundred sixteen billion, five hundred six million, one thousand, one".