100100099880029 has 2 divisors, whose sum is σ = 100100099880030. Its totient is φ = 100100099880028.

The previous prime is 100100099879929. The next prime is 100100099880037. The reversal of 100100099880029 is 920088990001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88914433008025 + 11185666872004 = 9429445^2 + 3344498^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100099880029 - 2²⁸ = 100099831444573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100099880829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050049940014 + 50050049940015.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049940015).

Almost surely, 2^{100100099880029} is an apocalyptic number.

It is an amenable number.

100100099880029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099880029 is an equidigital number, since it uses as much as digits as its factorization.

100100099880029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 47.

The spelling of 100100099880029 in words is "one hundred trillion, one hundred billion, ninety-nine million, eight hundred eighty thousand, twenty-nine".