2121121201001 has 24 divisors (see below), whose sum is σ = 2469611492712. Its totient is φ = 1814138726400.

The previous prime is 2121121200973. The next prime is 2121121201013. The reversal of 2121121201001 is 1001021211212.

It can be written as a sum of positive squares in 4 ways, for example, as 1333710400 + 2119787490601 = 36520^2 + 1455949^2 .

It is not a de Polignac number, because 2121121201001 - 2¹⁴ = 2121121184617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121121201021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4981181 + ... + 5390213.

It is an arithmetic number, because the mean of its divisors is an integer number (102900478863).

Almost surely, 2^{2121121201001} is an apocalyptic number.

It is an amenable number.

2121121201001 is a deficient number, since it is larger than the sum of its proper divisors (348490291711).

2121121201001 is a wasteful number, since it uses less digits than its factorization.

2121121201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411593 (or 411582 counting only the distinct ones).

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

Adding to 2121121201001 its reverse (1001021211212), we get a palindrome (3122142412213).

It can be divided in two parts, 21211 and 21201001, that added together give a palindrome (21222212).

The spelling of 2121121201001 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, one".