2121022012001 has 8 divisors (see below), whose sum is σ = 2194280521320. Its totient is φ = 2047771490688.

The previous prime is 2121022011989. The next prime is 2121022012003. The reversal of 2121022012001 is 1002102201212.

It can be written as a sum of positive squares in 4 ways, for example, as 294902216401 + 1826119795600 = 543049^2 + 1351340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2121022012001 - 2⁶ = 2121022011937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2121022012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454276 + ... + 2521301.

It is an arithmetic number, because the mean of its divisors is an integer number (274285065165).

Almost surely, 2^{2121022012001} is an apocalyptic number.

It is an amenable number.

2121022012001 is a deficient number, since it is larger than the sum of its proper divisors (73258509319).

2121022012001 is a wasteful number, since it uses less digits than its factorization.

2121022012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994003.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121022012001 its reverse (1002102201212), we get a palindrome (3123124213213).

The spelling of 2121022012001 in words is "two trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, one".