101101100099933 has 2 divisors, whose sum is σ = 101101100099934. Its totient is φ = 101101100099932.

The previous prime is 101101100099833. The next prime is 101101100099971. The reversal of 101101100099933 is 339990001101101.

It is an a-pointer prime, because the next prime (101101100099971) can be obtained adding 101101100099933 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69538704186169 + 31562395913764 = 8338987^2 + 5618042^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101100099933 - 2³² = 101096805132637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100099033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550049966 + 50550550049967.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550049967).

Almost surely, 2^{101101100099933} is an apocalyptic number.

It is an amenable number.

101101100099933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100099933 is an equidigital number, since it uses as much as digits as its factorization.

101101100099933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 101101100099933 in words is "one hundred one trillion, one hundred one billion, one hundred million, ninety-nine thousand, nine hundred thirty-three".