211111201001 has 2 divisors, whose sum is σ = 211111201002. Its totient is φ = 211111201000.

The previous prime is 211111200983. The next prime is 211111201019. The reversal of 211111201001 is 100102111112.

It is a balanced prime because it is at equal distance from previous prime (211111200983) and next prime (211111201019).

It can be written as a sum of positive squares in only one way, i.e., 204936384601 + 6174816400 = 452699^2 + 78580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211111201001 is a prime.

It is not a weakly prime, because it can be changed into another prime (211111201051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105555600500 + 105555600501.

It is an arithmetic number, because the mean of its divisors is an integer number (105555600501).

Almost surely, 2^211111201001 is an apocalyptic number.

It is an amenable number.

211111201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211111201001 is an equidigital number, since it uses as much as digits as its factorization.

211111201001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211111201001 its reverse (100102111112), we get a palindrome (311213312113).

The spelling of 211111201001 in words is "two hundred eleven billion, one hundred eleven million, two hundred one thousand, one".