10211010122221 has 32 divisors (see below), whose sum is σ = 10517226854400. Its totient is φ = 9910010880000.

The previous prime is 10211010122191. The next prime is 10211010122227. The reversal of 10211010122221 is 12222101011201.

It is a cyclic number.

It is not a de Polignac number, because 10211010122221 - 2⁵ = 10211010122189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211010122195 and 10211010122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211010122227) 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, 3797324845 + ... + 3797327533.

It is an arithmetic number, because the mean of its divisors is an integer number (328663339200).

Almost surely, 2^{10211010122221} is an apocalyptic number.

It is an amenable number.

10211010122221 is a deficient number, since it is larger than the sum of its proper divisors (306216732179).

10211010122221 is a wasteful number, since it uses less digits than its factorization.

10211010122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741.

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

Adding to 10211010122221 its reverse (12222101011201), we get a palindrome (22433111133422).

The spelling of 10211010122221 in words is "ten trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand, two hundred twenty-one".