101210221121029 has 2 divisors, whose sum is σ = 101210221121030. Its totient is φ = 101210221121028.

The previous prime is 101210221120997. The next prime is 101210221121039. The reversal of 101210221121029 is 920121122012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53973604168929 + 47236616952100 = 7346673^2 + 6872890^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210221121029 - 2⁵ = 101210221120997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101210221120994 and 101210221121012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210221121039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605110560514 + 50605110560515.

It is an arithmetic number, because the mean of its divisors is an integer number (50605110560515).

Almost surely, 2^{101210221121029} is an apocalyptic number.

It is an amenable number.

101210221121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210221121029 is an equidigital number, since it uses as much as digits as its factorization.

101210221121029 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 101210221121029 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty-nine".