2122102112001 has 16 divisors (see below), whose sum is σ = 2896210749696. Its totient is φ = 1381385463696.

The previous prime is 2122102111999. The next prime is 2122102112003. The reversal of 2122102112001 is 1002112012212.

It is an interprime number because it is at equal distance from previous prime (2122102111999) and next prime (2122102112003).

It is not a de Polignac number, because 2122102112001 - 2¹ = 2122102111999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122102112003) 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, 2270215 + ... + 3065628.

It is an arithmetic number, because the mean of its divisors is an integer number (181013171856).

Almost surely, 2^{2122102112001} is an apocalyptic number.

It is an amenable number.

2122102112001 is a deficient number, since it is larger than the sum of its proper divisors (774108637695).

2122102112001 is a wasteful number, since it uses less digits than its factorization.

2122102112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338972.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122102112001 its reverse (1002112012212), we get a palindrome (3124214124213).

It can be divided in two parts, 212210211 and 2001, that added together give a palindrome (212212212).

The spelling of 2122102112001 in words is "two trillion, one hundred twenty-two billion, one hundred two million, one hundred twelve thousand, one".