2120221202001 has 48 divisors (see below), whose sum is σ = 3476702779200. Its totient is φ = 1142776397952.

The previous prime is 2120221201991. The next prime is 2120221202017. The reversal of 2120221202001 is 1002021220212.

It is not a de Polignac number, because 2120221202001 - 2¹¹ = 2120221199953 is a prime.

It is a super-3 number, since 3×2120221202001³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120221202041) 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 47 ways as a sum of consecutive naturals, for example, 1017870 + ... + 2297063.

It is an arithmetic number, because the mean of its divisors is an integer number (72431307900).

Almost surely, 2^{2120221202001} is an apocalyptic number.

2120221202001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2120221202001 is a deficient number, since it is larger than the sum of its proper divisors (1356481577199).

2120221202001 is a wasteful number, since it uses less digits than its factorization.

2120221202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315198 (or 3315191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2120221202001 its reverse (1002021220212), we get a palindrome (3122242422213).

The spelling of 2120221202001 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, one".