100132031011121 has 2 divisors, whose sum is σ = 100132031011122. Its totient is φ = 100132031011120.

The previous prime is 100132031011093. The next prime is 100132031011127. The reversal of 100132031011121 is 121110130231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93347751248896 + 6784279762225 = 9661664^2 + 2604665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100132031011121 - 2³⁴ = 100114851141937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100132031011121.

It is not a weakly prime, because it can be changed into another prime (100132031011127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066015505560 + 50066015505561.

It is an arithmetic number, because the mean of its divisors is an integer number (50066015505561).

Almost surely, 2^{100132031011121} is an apocalyptic number.

It is an amenable number.

100132031011121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132031011121 is an equidigital number, since it uses as much as digits as its factorization.

100132031011121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100132031011121 its reverse (121110130231001), we get a palindrome (221242161242122).

The spelling of 100132031011121 in words is "one hundred trillion, one hundred thirty-two billion, thirty-one million, eleven thousand, one hundred twenty-one".