2210001112121 has 48 divisors (see below), whose sum is σ = 2462793984000. Its totient is φ = 1981536480000.

The previous prime is 2210001112103. The next prime is 2210001112159. The reversal of 2210001112121 is 1212111000122.

It is not a de Polignac number, because 2210001112121 - 2¹⁸ = 2210000849977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2210001112096 and 2210001112105.

It is not an unprimeable number, because it can be changed into a prime (2210001112181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920069896 + ... + 1920071046.

It is an arithmetic number, because the mean of its divisors is an integer number (51308208000).

Almost surely, 2^{2210001112121} is an apocalyptic number.

It is an amenable number.

2210001112121 is a deficient number, since it is larger than the sum of its proper divisors (252792871879).

2210001112121 is a wasteful number, since it uses less digits than its factorization.

2210001112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2210001112121 its reverse (1212111000122), we get a palindrome (3422112112243).

The spelling of 2210001112121 in words is "two trillion, two hundred ten billion, one million, one hundred twelve thousand, one hundred twenty-one".