101020121029 has 2 divisors, whose sum is σ = 101020121030. Its totient is φ = 101020121028.

The previous prime is 101020120997. The next prime is 101020121039. The reversal of 101020121029 is 920121020101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87957916929 + 13062204100 = 296577^2 + 114290^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020121029 - 2⁵ = 101020120997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020120997 and 101020121015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020121039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510060514 + 50510060515.

It is an arithmetic number, because the mean of its divisors is an integer number (50510060515).

Almost surely, 2^101020121029 is an apocalyptic number.

It is an amenable number.

101020121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020121029 is an equidigital number, since it uses as much as digits as its factorization.

101020121029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 101020121029 in words is "one hundred one billion, twenty million, one hundred twenty-one thousand, twenty-nine".