2221122112001 has 32 divisors (see below), whose sum is σ = 2420442984960. Its totient is φ = 2026037147904.

The previous prime is 2221122111979. The next prime is 2221122112031. The reversal of 2221122112001 is 1002112211222.

It is a cyclic number.

It is not a de Polignac number, because 2221122112001 - 2¹⁸ = 2221121849857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221122112031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464376056 + ... + 464380838.

It is an arithmetic number, because the mean of its divisors is an integer number (75638843280).

Almost surely, 2^{2221122112001} is an apocalyptic number.

It is an amenable number.

2221122112001 is a deficient number, since it is larger than the sum of its proper divisors (199320872959).

2221122112001 is a wasteful number, since it uses less digits than its factorization.

2221122112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2221122112001 its reverse (1002112211222), we get a palindrome (3223234323223).

The spelling of 2221122112001 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one".