100131210230101 has 2 divisors, whose sum is σ = 100131210230102. Its totient is φ = 100131210230100.

The previous prime is 100131210230089. The next prime is 100131210230123. The reversal of 100131210230101 is 101032012131001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68637496800625 + 31493713429476 = 8284775^2 + 5611926^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131210230101 - 2²⁵ = 100131176675669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131240230101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065605115050 + 50065605115051.

It is an arithmetic number, because the mean of its divisors is an integer number (50065605115051).

Almost surely, 2^{100131210230101} is an apocalyptic number.

It is an amenable number.

100131210230101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131210230101 is an equidigital number, since it uses as much as digits as its factorization.

100131210230101 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 16.

Adding to 100131210230101 its reverse (101032012131001), we get a palindrome (201163222361102).

The spelling of 100131210230101 in words is "one hundred trillion, one hundred thirty-one billion, two hundred ten million, two hundred thirty thousand, one hundred one".