9001000211121 has 6 divisors (see below), whose sum is σ = 13001444749410. Its totient is φ = 6000666807408.

The previous prime is 9001000211117. The next prime is 9001000211129. The reversal of 9001000211121 is 1211120001009.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6468318937521 + 2532681273600 = 2543289^2 + 1591440^2 .

It is not a de Polignac number, because 9001000211121 - 2² = 9001000211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9001000211094 and 9001000211103.

It is not an unprimeable number, because it can be changed into a prime (9001000211129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500055567276 + ... + 500055567293.

It is an arithmetic number, because the mean of its divisors is an integer number (2166907458235).

Almost surely, 2^{9001000211121} is an apocalyptic number.

It is an amenable number.

9001000211121 is a deficient number, since it is larger than the sum of its proper divisors (4000444538289).

9001000211121 is a wasteful number, since it uses less digits than its factorization.

9001000211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000111134575 (or 1000111134572 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 9001000211121 in words is "nine trillion, one billion, two hundred eleven thousand, one hundred twenty-one".