211211022121101 has 48 divisors (see below), whose sum is σ = 313601622645168. Its totient is φ = 136882150732800.

The previous prime is 211211022121067. The next prime is 211211022121181. The reversal of 211211022121101 is 101121220112112.

It is a happy number.

211211022121101 is a `hidden beast` number, since 21 + 1 + 211 + 0 + 221 + 211 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104484663707076 + 106726358414025 = 10221774^2 + 10330845^2 .

It is not a de Polignac number, because 211211022121101 - 2¹⁴ = 211211022104717 is a prime.

It is a super-2 number, since 2×211211022121101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211022121181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8896455091 + ... + 8896478831.

It is an arithmetic number, because the mean of its divisors is an integer number (6533367138441).

Almost surely, 2^{211211022121101} is an apocalyptic number.

It is an amenable number.

211211022121101 is a deficient number, since it is larger than the sum of its proper divisors (102390600524067).

211211022121101 is a wasteful number, since it uses less digits than its factorization.

211211022121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45982 (or 45979 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211211022121101 its reverse (101121220112112), we get a palindrome (312332242233213).

The spelling of 211211022121101 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred one".