100201011012029 has 2 divisors, whose sum is σ = 100201011012030. Its totient is φ = 100201011012028.

The previous prime is 100201011012019. The next prime is 100201011012121. The reversal of 100201011012029 is 920210110102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92500191760804 + 7700819251225 = 9617702^2 + 2775035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201011012029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201011012029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201011012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100505506014 + 50100505506015.

It is an arithmetic number, because the mean of its divisors is an integer number (50100505506015).

Almost surely, 2^{100201011012029} is an apocalyptic number.

It is an amenable number.

100201011012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201011012029 is an equidigital number, since it uses as much as digits as its factorization.

100201011012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100201011012029 in words is "one hundred trillion, two hundred one billion, eleven million, twelve thousand, twenty-nine".