10585521121 has 16 divisors (see below), whose sum is σ = 12835742976. Its totient is φ = 8521998336.

The previous prime is 10585521119. The next prime is 10585521131. The reversal of 10585521121 is 12112558501.

It is a cyclic number.

It is not a de Polignac number, because 10585521121 - 2¹ = 10585521119 is a prime.

It is a super-2 number, since 2×10585521121² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10585521131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33376 + ... + 149281.

It is an arithmetic number, because the mean of its divisors is an integer number (802233936).

Almost surely, 2^10585521121 is an apocalyptic number.

It is an amenable number.

10585521121 is a deficient number, since it is larger than the sum of its proper divisors (2250221855).

10585521121 is a wasteful number, since it uses less digits than its factorization.

10585521121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183168.

The product of its (nonzero) digits is 4000, while the sum is 31.

The spelling of 10585521121 in words is "ten billion, five hundred eighty-five million, five hundred twenty-one thousand, one hundred twenty-one".