2122212111001 has 8 divisors (see below), whose sum is σ = 2126233703304. Its totient is φ = 2118190884480.

The previous prime is 2122212110939. The next prime is 2122212111049. The reversal of 2122212111001 is 1001112122212.

It can be written as a sum of positive squares in 4 ways, for example, as 716325249600 + 1405886861401 = 846360^2 + 1185701^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122212111001 - 2¹³ = 2122212102809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122212711001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13401381 + ... + 13558813.

It is an arithmetic number, because the mean of its divisors is an integer number (265779212913).

Almost surely, 2^{2122212111001} is an apocalyptic number.

It is an amenable number.

2122212111001 is a deficient number, since it is larger than the sum of its proper divisors (4021592303).

2122212111001 is a wasteful number, since it uses less digits than its factorization.

2122212111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182891.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122212111001 its reverse (1001112122212), we get a palindrome (3123324233213).

It can be divided in two parts, 212221211 and 1001, that added together give a palindrome (212222212).

The spelling of 2122212111001 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred eleven thousand, one".