211002001111121 has 12 divisors (see below), whose sum is σ = 231929824118916. Its totient is φ = 191818342974720.

The previous prime is 211002001111103. The next prime is 211002001111133. The reversal of 211002001111121 is 121111100200112.

It can be written as a sum of positive squares in 2 ways, for example, as 86265179289025 + 124736821822096 = 9287905^2 + 11168564^2 .

It is not a de Polignac number, because 211002001111121 - 2¹⁴ = 211002001094737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211002001111096 and 211002001111105.

It is not an unprimeable number, because it can be changed into a prime (211002001111141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6629525 + ... + 21585981.

It is an arithmetic number, because the mean of its divisors is an integer number (19327485343243).

Almost surely, 2^{211002001111121} is an apocalyptic number.

It is an amenable number.

211002001111121 is a deficient number, since it is larger than the sum of its proper divisors (20927823007795).

211002001111121 is a wasteful number, since it uses less digits than its factorization.

211002001111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073072 (or 15073061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 211002001111121 its reverse (121111100200112), we get a palindrome (332113101311233).

The spelling of 211002001111121 in words is "two hundred eleven trillion, two billion, one million, one hundred eleven thousand, one hundred twenty-one".