101211121221029 has 2 divisors, whose sum is σ = 101211121221030. Its totient is φ = 101211121221028.

The previous prime is 101211121220941. The next prime is 101211121221053. The reversal of 101211121221029 is 920122121112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99510700005025 + 1700421216004 = 9975505^2 + 1304002^2 .

It is a cyclic number.

It is not a de Polignac number, because 101211121221029 - 2²⁰ = 101211120172453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101211121220989 and 101211121221007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101211121221629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605560610514 + 50605560610515.

It is an arithmetic number, because the mean of its divisors is an integer number (50605560610515).

Almost surely, 2^{101211121221029} is an apocalyptic number.

It is an amenable number.

101211121221029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211121221029 is an equidigital number, since it uses as much as digits as its factorization.

101211121221029 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 101211121221029 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty-nine".