201100003121 has 16 divisors (see below), whose sum is σ = 202991727120. Its totient is φ = 199218320640.

The previous prime is 201100003081. The next prime is 201100003151. The reversal of 201100003121 is 121300001102.

It can be written as a sum of positive squares in 8 ways, for example, as 103771602496 + 97328400625 = 322136^2 + 311975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201100003121 is a prime.

It is a super-2 number, since 2×201100003121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201100003151) 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, 78645575 + ... + 78648131.

It is an arithmetic number, because the mean of its divisors is an integer number (12686982945).

Almost surely, 2^201100003121 is an apocalyptic number.

It is an amenable number.

201100003121 is a deficient number, since it is larger than the sum of its proper divisors (1891723999).

201100003121 is a wasteful number, since it uses less digits than its factorization.

201100003121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 201100003121 its reverse (121300001102), we get a palindrome (322400004223).

The spelling of 201100003121 in words is "two hundred one billion, one hundred million, three thousand, one hundred twenty-one".