101011102099933 has 2 divisors, whose sum is σ = 101011102099934. Its totient is φ = 101011102099932.

The previous prime is 101011102099931. The next prime is 101011102099987. The reversal of 101011102099933 is 339990201110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69205810914009 + 31805291185924 = 8319003^2 + 5639618^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011102099933 - 2¹ = 101011102099931 is a prime.

Together with 101011102099931, 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 (101011102099931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505551049966 + 50505551049967.

It is an arithmetic number, because the mean of its divisors is an integer number (50505551049967).

Almost surely, 2^{101011102099933} is an apocalyptic number.

It is an amenable number.

101011102099933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011102099933 is an equidigital number, since it uses as much as digits as its factorization.

101011102099933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 40.

The spelling of 101011102099933 in words is "one hundred one trillion, eleven billion, one hundred two million, ninety-nine thousand, nine hundred thirty-three".