2121211112001 has 16 divisors (see below), whose sum is σ = 2951378764800. Its totient is φ = 1352597455440.

The previous prime is 2121211111979. The next prime is 2121211112039. The reversal of 2121211112001 is 1002111121212.

It is a happy number.

It is not a de Polignac number, because 2121211112001 - 2⁵ = 2121211111969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121211112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 954900 + ... + 2270298.

It is an arithmetic number, because the mean of its divisors is an integer number (184461172800).

Almost surely, 2^{2121211112001} is an apocalyptic number.

It is an amenable number.

2121211112001 is a deficient number, since it is larger than the sum of its proper divisors (830167652799).

2121211112001 is a wasteful number, since it uses less digits than its factorization.

2121211112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338796.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121211112001 its reverse (1002111121212), we get a palindrome (3123322233213).

The spelling of 2121211112001 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, one".