2111121022001 has 2 divisors, whose sum is σ = 2111121022002. Its totient is φ = 2111121022000.

The previous prime is 2111121021967. The next prime is 2111121022033. The reversal of 2111121022001 is 1002201211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109904407601 + 1216614400 = 1452551^2 + 34880^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111121022001 - 2¹⁸ = 2111120759857 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111121022051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1055560511000 + 1055560511001.

It is an arithmetic number, because the mean of its divisors is an integer number (1055560511001).

Almost surely, 2^{2111121022001} is an apocalyptic number.

It is an amenable number.

2111121022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111121022001 is an equidigital number, since it uses as much as digits as its factorization.

2111121022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2111121022001 its reverse (1002201211112), we get a palindrome (3113322233113).

The spelling of 2111121022001 in words is "two trillion, one hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one".