10001120211 has 12 divisors (see below), whose sum is σ = 14912064960. Its totient is φ = 6452335440.

The previous prime is 10001120183. The next prime is 10001120221. The reversal of 10001120211 is 11202110001.

It is a happy number.

It is not a de Polignac number, because 10001120211 - 2¹¹ = 10001118163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001120193 and 10001120202.

It is not an unprimeable number, because it can be changed into a prime (10001120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17922876 + ... + 17923433.

It is an arithmetic number, because the mean of its divisors is an integer number (1242672080).

Almost surely, 2^10001120211 is an apocalyptic number.

10001120211 is a deficient number, since it is larger than the sum of its proper divisors (4910944749).

10001120211 is a wasteful number, since it uses less digits than its factorization.

10001120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35846346 (or 35846343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001120211 its reverse (11202110001), we get a palindrome (21203230212).

It can be divided in two parts, 1000 and 1120211, that added together give a palindrome (1121211).

The spelling of 10001120211 in words is "ten billion, one million, one hundred twenty thousand, two hundred eleven".