100961826029 has 2 divisors, whose sum is σ = 100961826030. Its totient is φ = 100961826028.

The previous prime is 100961825981. The next prime is 100961826041. The reversal of 100961826029 is 920628169001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100127944900 + 833881129 = 316430^2 + 28877^2 .

It is a cyclic number.

It is not a de Polignac number, because 100961826029 - 2²⁰ = 100960777453 is a prime.

It is a super-2 number, since 2×100961826029² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100961826089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50480913014 + 50480913015.

It is an arithmetic number, because the mean of its divisors is an integer number (50480913015).

Almost surely, 2^100961826029 is an apocalyptic number.

It is an amenable number.

100961826029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100961826029 is an equidigital number, since it uses as much as digits as its factorization.

100961826029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 100961826029 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, twenty-nine".