100100099880829 has 2 divisors, whose sum is σ = 100100099880830. Its totient is φ = 100100099880828.

The previous prime is 100100099880821. The next prime is 100100099880877. The reversal of 100100099880829 is 928088990001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99235925128729 + 864174752100 = 9961723^2 + 929610^2 .

It is an emirp because it is prime and its reverse (928088990001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100099880829 - 2³ = 100100099880821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100099880829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100099880821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050049940414 + 50050049940415.

It is an arithmetic number, because the mean of its divisors is an integer number (50050049940415).

Almost surely, 2^{100100099880829} is an apocalyptic number.

It is an amenable number.

100100099880829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100099880829 is an equidigital number, since it uses as much as digits as its factorization.

100100099880829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 746496, while the sum is 55.

The spelling of 100100099880829 in words is "one hundred trillion, one hundred billion, ninety-nine million, eight hundred eighty thousand, eight hundred twenty-nine".