101201121221029 has 2 divisors, whose sum is σ = 101201121221030. Its totient is φ = 101201121221028.

The previous prime is 101201121221023. The next prime is 101201121221041. The reversal of 101201121221029 is 920122121102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58180312270404 + 43020808950625 = 7627602^2 + 6559025^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201121221029 - 2²⁵ = 101201087666597 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201121220994 and 101201121221012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201121221023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600560610514 + 50600560610515.

It is an arithmetic number, because the mean of its divisors is an integer number (50600560610515).

Almost surely, 2^{101201121221029} is an apocalyptic number.

It is an amenable number.

101201121221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201121221029 is an equidigital number, since it uses as much as digits as its factorization.

101201121221029 is an evil number, because the sum of its binary digits is even.

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

The spelling of 101201121221029 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty-nine".