101032101029 has 2 divisors, whose sum is σ = 101032101030. Its totient is φ = 101032101028.

The previous prime is 101032100987. The next prime is 101032101061. The reversal of 101032101029 is 920101230101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82153890625 + 18878210404 = 286625^2 + 137398^2 .

It is a cyclic number.

It is not a de Polignac number, because 101032101029 - 2⁸ = 101032100773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101032101029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101032101629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50516050514 + 50516050515.

It is an arithmetic number, because the mean of its divisors is an integer number (50516050515).

Almost surely, 2^101032101029 is an apocalyptic number.

It is an amenable number.

101032101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

101032101029 is an equidigital number, since it uses as much as digits as its factorization.

101032101029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 20.

The spelling of 101032101029 in words is "one hundred one billion, thirty-two million, one hundred one thousand, twenty-nine".