101010032369 has 2 divisors, whose sum is σ = 101010032370. Its totient is φ = 101010032368.

The previous prime is 101010032293. The next prime is 101010032399. The reversal of 101010032369 is 963230010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72630250000 + 28379782369 = 269500^2 + 168463^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010032369 - 2¹⁶ = 101009966833 is a prime.

It is a super-2 number, since 2×101010032369² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101010032399) 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, 50505016184 + 50505016185.

It is an arithmetic number, because the mean of its divisors is an integer number (50505016185).

Almost surely, 2^101010032369 is an apocalyptic number.

It is an amenable number.

101010032369 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010032369 is an equidigital number, since it uses as much as digits as its factorization.

101010032369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 101010032369 in words is "one hundred one billion, ten million, thirty-two thousand, three hundred sixty-nine".