101210221121129 has 2 divisors, whose sum is σ = 101210221121130. Its totient is φ = 101210221121128.

The previous prime is 101210221121039. The next prime is 101210221121137. The reversal of 101210221121129 is 921121122012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77646497475625 + 23563723645504 = 8811725^2 + 4854248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101210221121129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210221121098 and 101210221121107.

It is not a weakly prime, because it can be changed into another prime (101210221121029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605110560564 + 50605110560565.

It is an arithmetic number, because the mean of its divisors is an integer number (50605110560565).

Almost surely, 2^{101210221121129} is an apocalyptic number.

It is an amenable number.

101210221121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210221121129 is an equidigital number, since it uses as much as digits as its factorization.

101210221121129 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 26.

The spelling of 101210221121129 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-nine".