100961826929 has 2 divisors, whose sum is σ = 100961826930. Its totient is φ = 100961826928.

The previous prime is 100961826883. The next prime is 100961826971. The reversal of 100961826929 is 929628169001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84718834225 + 16242992704 = 291065^2 + 127448^2 .

It is a cyclic number.

It is not a de Polignac number, because 100961826929 - 2¹⁶ = 100961761393 is a prime.

It is not a weakly prime, because it can be changed into another prime (100961826029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480913464 + 50480913465.

It is an arithmetic number, because the mean of its divisors is an integer number (50480913465).

Almost surely, 2^100961826929 is an apocalyptic number.

It is an amenable number.

100961826929 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961826929 is an equidigital number, since it uses as much as digits as its factorization.

100961826929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 839808, while the sum is 53.

The spelling of 100961826929 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, nine hundred twenty-nine".