100961826829 has 2 divisors, whose sum is σ = 100961826830. Its totient is φ = 100961826828.

The previous prime is 100961826827. The next prime is 100961826841. The reversal of 100961826829 is 928628169001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99478421604 + 1483405225 = 315402^2 + 38515^2 .

It is a cyclic number.

It is not a de Polignac number, because 100961826829 - 2¹ = 100961826827 is a prime.

Together with 100961826827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100961826827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480913414 + 50480913415.

It is an arithmetic number, because the mean of its divisors is an integer number (50480913415).

Almost surely, 2^100961826829 is an apocalyptic number.

It is an amenable number.

100961826829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961826829 is an equidigital number, since it uses as much as digits as its factorization.

100961826829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 100961826829 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, eight hundred twenty-nine".