10100010001933 has 2 divisors, whose sum is σ = 10100010001934. Its totient is φ = 10100010001932.

The previous prime is 10100010001867. The next prime is 10100010002003. The reversal of 10100010001933 is 33910001000101.

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., 7941000008484 + 2159009993449 = 2817978^2 + 1469357^2 .

It is an emirp because it is prime and its reverse (33910001000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10100010001933 - 2²⁵ = 10099976447501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010001933.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010004933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005000966 + 5050005000967.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005000967).

Almost surely, 2^{10100010001933} is an apocalyptic number.

It is an amenable number.

10100010001933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010001933 is an equidigital number, since it uses as much as digits as its factorization.

10100010001933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 10100010001933 in words is "ten trillion, one hundred billion, ten million, one thousand, nine hundred thirty-three".