2121221012001 has 32 divisors (see below), whose sum is σ = 3492858673920. Its totient is φ = 1115067043584.

The previous prime is 2121221011969. The next prime is 2121221012023. The reversal of 2121221012001 is 1002101221212.

It is not a de Polignac number, because 2121221012001 - 2⁵ = 2121221011969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121221012501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13179466 + ... + 13339443.

It is an arithmetic number, because the mean of its divisors is an integer number (109151833560).

Almost surely, 2^{2121221012001} is an apocalyptic number.

2121221012001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121221012001 is a deficient number, since it is larger than the sum of its proper divisors (1371637661919).

2121221012001 is a wasteful number, since it uses less digits than its factorization.

2121221012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26519225.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121221012001 its reverse (1002101221212), we get a palindrome (3123322233213).

The spelling of 2121221012001 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, twelve thousand, one".