211001122121 has 12 divisors (see below), whose sum is σ = 226362330060. Its totient is φ = 196623033600.

The previous prime is 211001122117. The next prime is 211001122133. The reversal of 211001122121 is 121221100112.

It can be written as a sum of positive squares in 6 ways, for example, as 22436744521 + 188564377600 = 149789^2 + 434240^2 .

It is not a de Polignac number, because 211001122121 - 2² = 211001122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211001122096 and 211001122105.

It is not an unprimeable number, because it can be changed into a prime (211001122151) 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, 3585206 + ... + 3643583.

It is an arithmetic number, because the mean of its divisors is an integer number (18863527505).

Almost surely, 2^211001122121 is an apocalyptic number.

It is an amenable number.

211001122121 is a deficient number, since it is larger than the sum of its proper divisors (15361207939).

211001122121 is a wasteful number, since it uses less digits than its factorization.

211001122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228924 (or 7228907 counting only the distinct ones).

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

Adding to 211001122121 its reverse (121221100112), we get a palindrome (332222222233).

The spelling of 211001122121 in words is "two hundred eleven billion, one million, one hundred twenty-two thousand, one hundred twenty-one".