2102122102201 has 16 divisors (see below), whose sum is σ = 2414648217600. Its totient is φ = 1809894013200.

The previous prime is 2102122102181. The next prime is 2102122102237. The reversal of 2102122102201 is 1022012212012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2102122102201 - 2⁹ = 2102122101689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2102122102291) 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, 821545 + ... + 2208886.

It is an arithmetic number, because the mean of its divisors is an integer number (150915513600).

Almost surely, 2^{2102122102201} is an apocalyptic number.

It is an amenable number.

2102122102201 is a deficient number, since it is larger than the sum of its proper divisors (312526115399).

2102122102201 is a wasteful number, since it uses less digits than its factorization.

2102122102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033780.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2102122102201 its reverse (1022012212012), we get a palindrome (3124134314213).

The spelling of 2102122102201 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred two thousand, two hundred one".