10211222221121 has 16 divisors (see below), whose sum is σ = 10777116804480. Its totient is φ = 9655932760320.

The previous prime is 10211222221097. The next prime is 10211222221129. The reversal of 10211222221121 is 12112222211201.

It is a cyclic number.

It is not a de Polignac number, because 10211222221121 - 2²² = 10211218026817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211222221093 and 10211222221102.

It is not an unprimeable number, because it can be changed into a prime (10211222221129) 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, 4038995 + ... + 6061016.

It is an arithmetic number, because the mean of its divisors is an integer number (673569800280).

Almost surely, 2^{10211222221121} is an apocalyptic number.

It is an amenable number.

10211222221121 is a deficient number, since it is larger than the sum of its proper divisors (565894583359).

10211222221121 is a wasteful number, since it uses less digits than its factorization.

10211222221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100536.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 10211222221121 its reverse (12112222211201), we get a palindrome (22323444432322).

The spelling of 10211222221121 in words is "ten trillion, two hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".