2101022211121 has 4 divisors (see below), whose sum is σ = 2103417904372. Its totient is φ = 2098626517872.

The previous prime is 2101022211107. The next prime is 2101022211133. The reversal of 2101022211121 is 1211122201012.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1119228580096 + 981793631025 = 1057936^2 + 990855^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101022211121 - 2¹⁹ = 2101021686833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101022211095 and 2101022211104.

It is not an unprimeable number, because it can be changed into a prime (2101022211221) 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 3 ways as a sum of consecutive naturals, for example, 1197845310 + ... + 1197847063.

It is an arithmetic number, because the mean of its divisors is an integer number (525854476093).

Almost surely, 2^{2101022211121} is an apocalyptic number.

It is an amenable number.

2101022211121 is a deficient number, since it is larger than the sum of its proper divisors (2395693251).

2101022211121 is an equidigital number, since it uses as much as digits as its factorization.

2101022211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395693250.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101022211121 its reverse (1211122201012), we get a palindrome (3312144412133).

The spelling of 2101022211121 in words is "two trillion, one hundred one billion, twenty-two million, two hundred eleven thousand, one hundred twenty-one".