211122101021 has 12 divisors (see below), whose sum is σ = 235472700372. Its totient is φ = 188161862784.

The previous prime is 211122101011. The next prime is 211122101027. The reversal of 211122101021 is 120101221112.

It can be written as a sum of positive squares in 6 ways, for example, as 45748932100 + 165373168921 = 213890^2 + 406661^2 .

It is not a de Polignac number, because 211122101021 - 2²⁶ = 211054992157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211122100987 and 211122101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122101027) 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, 9644336 + ... + 9666201.

It is an arithmetic number, because the mean of its divisors is an integer number (19622725031).

Almost surely, 2^211122101021 is an apocalyptic number.

It is an amenable number.

211122101021 is a deficient number, since it is larger than the sum of its proper divisors (24350599351).

211122101021 is a wasteful number, since it uses less digits than its factorization.

211122101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19310608 (or 19310579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211122101021 its reverse (120101221112), we get a palindrome (331223322133).

The spelling of 211122101021 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred one thousand, twenty-one".