1000211121 has 72 divisors (see below), whose sum is σ = 1836968640. Its totient is φ = 513122688.

The previous prime is 1000211119. The next prime is 1000211153. The reversal of 1000211121 is 1211120001.

It is a happy number.

1000211121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000211121 - 2¹ = 1000211119 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000211921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392670 + ... + 395208.

Almost surely, 2^1000211121 is an apocalyptic number.

It is an amenable number.

1000211121 is a deficient number, since it is larger than the sum of its proper divisors (836757519).

1000211121 is a wasteful number, since it uses less digits than its factorization.

1000211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2599 counting only the distinct ones).

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

The square root of 1000211121 is about 31626.1145416252. The cubic root of 1000211121 is about 1000.0703687148.

Adding to 1000211121 its reverse (1211120001), we get a palindrome (2211331122).

The spelling of 1000211121 in words is "one billion, two hundred eleven thousand, one hundred twenty-one".