2201221121001 has 64 divisors (see below), whose sum is σ = 3582880874496. Its totient is φ = 1173450700800.

The previous prime is 2201221120999. The next prime is 2201221121003. The reversal of 2201221121001 is 1001211221022.

It is an interprime number because it is at equal distance from previous prime (2201221120999) and next prime (2201221121003).

It is not a de Polignac number, because 2201221121001 - 2¹ = 2201221120999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201221121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19103106 + ... + 19217988.

It is an arithmetic number, because the mean of its divisors is an integer number (55982513664).

Almost surely, 2^{2201221121001} is an apocalyptic number.

2201221121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2201221121001 is a deficient number, since it is larger than the sum of its proper divisors (1381659753495).

2201221121001 is a wasteful number, since it uses less digits than its factorization.

2201221121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115382.

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

Adding to 2201221121001 its reverse (1001211221022), we get a palindrome (3202432342023).

The spelling of 2201221121001 in words is "two trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one".