10002111211993 has 2 divisors, whose sum is σ = 10002111211994. Its totient is φ = 10002111211992.

The previous prime is 10002111211991. The next prime is 10002111212017. The reversal of 10002111211993 is 39911211120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7438999867209 + 2563111344784 = 2727453^2 + 1600972^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002111211993 - 2¹ = 10002111211991 is a prime.

Together with 10002111211991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002111211991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055605996 + 5001055605997.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055605997).

Almost surely, 2^{10002111211993} is an apocalyptic number.

It is an amenable number.

10002111211993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111211993 is an equidigital number, since it uses as much as digits as its factorization.

10002111211993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 31.

Adding to 10002111211993 its reverse (39911211120001), we get a palindrome (49913322331994).

The spelling of 10002111211993 in words is "ten trillion, two billion, one hundred eleven million, two hundred eleven thousand, nine hundred ninety-three".