211122002002221 has 12 divisors (see below), whose sum is σ = 305364438975648. Its totient is φ = 140558569296264.

The previous prime is 211122002002201. The next prime is 211122002002231. The reversal of 211122002002221 is 122200200221112.

It is a happy number.

211122002002221 is a `hidden beast` number, since 21 + 1 + 1 + 220 + 0 + 200 + 2 + 221 = 666.

It is not a de Polignac number, because 211122002002221 - 2²⁷ = 211121867784493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122002002194 and 211122002002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122002002201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15785996155 + ... + 15786009528.

It is an arithmetic number, because the mean of its divisors is an integer number (25447036581304).

Almost surely, 2^{211122002002221} is an apocalyptic number.

It is an amenable number.

211122002002221 is a deficient number, since it is larger than the sum of its proper divisors (94242436973427).

211122002002221 is a wasteful number, since it uses less digits than its factorization.

211122002002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31572006432 (or 31572006429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211122002002221 its reverse (122200200221112), we get a palindrome (333322202223333).

The spelling of 211122002002221 in words is "two hundred eleven trillion, one hundred twenty-two billion, two million, two thousand, two hundred twenty-one".