2120221001001 has 16 divisors (see below), whose sum is σ = 2862877122560. Its totient is φ = 1395524417040.

The previous prime is 2120221000979. The next prime is 2120221001033. The reversal of 2120221001001 is 1001001220212.

It is not a de Polignac number, because 2120221001001 - 2¹⁵ = 2120220968233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120221001501) 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, 5273946 + ... + 5661708.

It is an arithmetic number, because the mean of its divisors is an integer number (178929820160).

Almost surely, 2^{2120221001001} is an apocalyptic number.

It is an amenable number.

2120221001001 is a deficient number, since it is larger than the sum of its proper divisors (742656121559).

2120221001001 is a wasteful number, since it uses less digits than its factorization.

2120221001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410916.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120221001001 its reverse (1001001220212), we get a palindrome (3121222221213).

The spelling of 2120221001001 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one thousand, one".