101100983233933 has 2 divisors, whose sum is σ = 101100983233934. Its totient is φ = 101100983233932.

The previous prime is 101100983233931. The next prime is 101100983233937. The reversal of 101100983233933 is 339332389001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70791576095529 + 30309407138404 = 8413773^2 + 5505398^2 .

It is an emirp because it is prime and its reverse (339332389001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101100983233933 - 2¹ = 101100983233931 is a prime.

Together with 101100983233931, 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 (101100983233931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550491616966 + 50550491616967.

It is an arithmetic number, because the mean of its divisors is an integer number (50550491616967).

Almost surely, 2^{101100983233933} is an apocalyptic number.

It is an amenable number.

101100983233933 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100983233933 is an equidigital number, since it uses as much as digits as its factorization.

101100983233933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 46.

The spelling of 101100983233933 in words is "one hundred one trillion, one hundred billion, nine hundred eighty-three million, two hundred thirty-three thousand, nine hundred thirty-three".