100132213181101 has 2 divisors, whose sum is σ = 100132213181102. Its totient is φ = 100132213181100.

The previous prime is 100132213181093. The next prime is 100132213181107. The reversal of 100132213181101 is 101181312231001.

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., 83633750232201 + 16498462948900 = 9145149^2 + 4061830^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132213181101 - 2³ = 100132213181093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100132213181107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066106590550 + 50066106590551.

It is an arithmetic number, because the mean of its divisors is an integer number (50066106590551).

Almost surely, 2^{100132213181101} is an apocalyptic number.

It is an amenable number.

100132213181101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132213181101 is an equidigital number, since it uses as much as digits as its factorization.

100132213181101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 100132213181101 in words is "one hundred trillion, one hundred thirty-two billion, two hundred thirteen million, one hundred eighty-one thousand, one hundred one".