2122331013201 has 64 divisors (see below), whose sum is σ = 3262825133568. Its totient is φ = 1202025166848.

The previous prime is 2122331013163. The next prime is 2122331013203. The reversal of 2122331013201 is 1023101332212.

It is not a de Polignac number, because 2122331013201 - 2¹⁴ = 2122330996817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2122331013203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1460653791 + ... + 1460655243.

It is an arithmetic number, because the mean of its divisors is an integer number (50981642712).

Almost surely, 2^{2122331013201} is an apocalyptic number.

2122331013201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122331013201 is a deficient number, since it is larger than the sum of its proper divisors (1140494120367).

2122331013201 is a wasteful number, since it uses less digits than its factorization.

2122331013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2122331013201 its reverse (1023101332212), we get a palindrome (3145432345413).

The spelling of 2122331013201 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-one million, thirteen thousand, two hundred one".