10100033333101 has 2 divisors, whose sum is σ = 10100033333102. Its totient is φ = 10100033333100.

The previous prime is 10100033333099. The next prime is 10100033333111. The reversal of 10100033333101 is 10133333000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7579477017225 + 2520556315876 = 2753085^2 + 1587626^2 .

It is an emirp because it is prime and its reverse (10133333000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100033333101 - 2¹ = 10100033333099 is a prime.

Together with 10100033333099, 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 (10100033333111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016666550 + 5050016666551.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016666551).

Almost surely, 2^{10100033333101} is an apocalyptic number.

It is an amenable number.

10100033333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100033333101 is an equidigital number, since it uses as much as digits as its factorization.

10100033333101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10100033333101 its reverse (10133333000101), we get a palindrome (20233366333202).

The spelling of 10100033333101 in words is "ten trillion, one hundred billion, thirty-three million, three hundred thirty-three thousand, one hundred one".