2121121111001 has 4 divisors (see below), whose sum is σ = 2125952822400. Its totient is φ = 2116289399604.

The previous prime is 2121121110923. The next prime is 2121121111073. The reversal of 2121121111001 is 1001111211212.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2121121111001 - 2¹⁸ = 2121120848857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121121111301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2415855041 + ... + 2415855918.

It is an arithmetic number, because the mean of its divisors is an integer number (531488205600).

Almost surely, 2^{2121121111001} is an apocalyptic number.

It is an amenable number.

2121121111001 is a deficient number, since it is larger than the sum of its proper divisors (4831711399).

2121121111001 is an equidigital number, since it uses as much as digits as its factorization.

2121121111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831711398.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2121121111001 its reverse (1001111211212), we get a palindrome (3122232322213).

It can be divided in two parts, 21211211 and 11001, that added together give a palindrome (21222212).

The spelling of 2121121111001 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred eleven thousand, one".