2112211201993 has 2 divisors, whose sum is σ = 2112211201994. Its totient is φ = 2112211201992.

The previous prime is 2112211201921. The next prime is 2112211202009. The reversal of 2112211201993 is 3991021122112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1853442633744 + 258768568249 = 1361412^2 + 508693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112211201993 is a prime.

It is a super-2 number, since 2×2112211201993² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112211201693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056105600996 + 1056105600997.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105600997).

Almost surely, 2^{2112211201993} is an apocalyptic number.

It is an amenable number.

2112211201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211201993 is an equidigital number, since it uses as much as digits as its factorization.

2112211201993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 2112211201993 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two hundred one thousand, nine hundred ninety-three".