2211101121001 has 2 divisors, whose sum is σ = 2211101121002. Its totient is φ = 2211101121000.

The previous prime is 2211101120999. The next prime is 2211101121037. The reversal of 2211101121001 is 1001211011122.

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., 1781755110976 + 429346010025 = 1334824^2 + 655245^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211101121001 - 2¹ = 2211101120999 is a prime.

Together with 2211101120999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2211101121091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105550560500 + 1105550560501.

It is an arithmetic number, because the mean of its divisors is an integer number (1105550560501).

Almost surely, 2^{2211101121001} is an apocalyptic number.

It is an amenable number.

2211101121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211101121001 is an equidigital number, since it uses as much as digits as its factorization.

2211101121001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211101121001 its reverse (1001211011122), we get a palindrome (3212312132123).

The spelling of 2211101121001 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred twenty-one thousand, one".