101010121230829 has 2 divisors, whose sum is σ = 101010121230830. Its totient is φ = 101010121230828.

The previous prime is 101010121230787. The next prime is 101010121230859. The reversal of 101010121230829 is 928032121010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99576649016100 + 1433472214729 = 9978810^2 + 1197277^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010121230829 - 2⁷ = 101010121230701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101010121230829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010121230859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505060615414 + 50505060615415.

It is an arithmetic number, because the mean of its divisors is an integer number (50505060615415).

Almost surely, 2^{101010121230829} is an apocalyptic number.

It is an amenable number.

101010121230829 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010121230829 is an equidigital number, since it uses as much as digits as its factorization.

101010121230829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 31.

The spelling of 101010121230829 in words is "one hundred one trillion, ten billion, one hundred twenty-one million, two hundred thirty thousand, eight hundred twenty-nine".