2100242233221 has 16 divisors (see below), whose sum is σ = 3082924384320. Its totient is φ = 1261196334720.

The previous prime is 2100242233151. The next prime is 2100242233241. The reversal of 2100242233221 is 1223322420012.

It is not a de Polignac number, because 2100242233221 - 2¹⁴ = 2100242216837 is a prime.

It is a super-2 number, since 2×2100242233221² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100242233191 and 2100242233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100242233241) 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 15 ways as a sum of consecutive naturals, for example, 291940000 + ... + 291947193.

It is an arithmetic number, because the mean of its divisors is an integer number (192682774020).

Almost surely, 2^{2100242233221} is an apocalyptic number.

It is an amenable number.

2100242233221 is a deficient number, since it is larger than the sum of its proper divisors (982682151099).

2100242233221 is a wasteful number, since it uses less digits than its factorization.

2100242233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583887316.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2100242233221 its reverse (1223322420012), we get a palindrome (3323564653233).

The spelling of 2100242233221 in words is "two trillion, one hundred billion, two hundred forty-two million, two hundred thirty-three thousand, two hundred twenty-one".