2102122222001 has 16 divisors (see below), whose sum is σ = 2251417453200. Its totient is φ = 1955688480768.

The previous prime is 2102122221931. The next prime is 2102122222003. The reversal of 2102122222001 is 1002222212012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 36796830625 + 2065325391376 = 191825^2 + 1437124^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102122222001 - 2¹⁰ = 2102122220977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102122222003) 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, 5242865 + ... + 5629553.

It is an arithmetic number, because the mean of its divisors is an integer number (140713590825).

Almost surely, 2^{2102122222001} is an apocalyptic number.

It is an amenable number.

2102122222001 is a deficient number, since it is larger than the sum of its proper divisors (149295231199).

2102122222001 is a wasteful number, since it uses less digits than its factorization.

2102122222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390388.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2102122222001 its reverse (1002222212012), we get a palindrome (3104344434013).

The spelling of 2102122222001 in words is "two trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, one".