2122120211001 has 16 divisors (see below), whose sum is σ = 3234020874624. Its totient is φ = 1212522413184.

The previous prime is 2122120210963. The next prime is 2122120211009. The reversal of 2122120211001 is 1001120212212.

It is not a de Polignac number, because 2122120211001 - 2¹³ = 2122120202809 is a prime.

It is a super-2 number, since 2×2122120211001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2122120211009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4682746 + ... + 5115891.

It is an arithmetic number, because the mean of its divisors is an integer number (202126304664).

Almost surely, 2^{2122120211001} is an apocalyptic number.

2122120211001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122120211001 is a deficient number, since it is larger than the sum of its proper divisors (1111900663623).

2122120211001 is a wasteful number, since it uses less digits than its factorization.

2122120211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9808960.

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

Adding to 2122120211001 its reverse (1001120212212), we get a palindrome (3123240423213).

The spelling of 2122120211001 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred eleven thousand, one".