2100221101121 has 32 divisors (see below), whose sum is σ = 2668119326208. Its totient is φ = 1623458672640.

The previous prime is 2100221101093. The next prime is 2100221101159. The reversal of 2100221101121 is 1211011220012.

It is a cyclic number.

It is not a de Polignac number, because 2100221101121 - 2²⁶ = 2100153992257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100221101096 and 2100221101105.

It is not an unprimeable number, because it can be changed into a prime (2100221101171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9076520 + ... + 9305033.

It is an arithmetic number, because the mean of its divisors is an integer number (83378728944).

Almost surely, 2^{2100221101121} is an apocalyptic number.

It is an amenable number.

2100221101121 is a deficient number, since it is larger than the sum of its proper divisors (567898225087).

2100221101121 is a wasteful number, since it uses less digits than its factorization.

2100221101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18381641.

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

Adding to 2100221101121 its reverse (1211011220012), we get a palindrome (3311232321133).

The spelling of 2100221101121 in words is "two trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".