10031034122121 has 64 divisors (see below), whose sum is σ = 14985693515520. Its totient is φ = 5938523136000.

The previous prime is 10031034122113. The next prime is 10031034122129. The reversal of 10031034122121 is 12122143013001.

It is an interprime number because it is at equal distance from previous prime (10031034122113) and next prime (10031034122129).

It is not a de Polignac number, because 10031034122121 - 2³ = 10031034122113 is a prime.

It is a super-2 number, since 2×10031034122121² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10031034122129) 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 63 ways as a sum of consecutive naturals, for example, 19420221 + ... + 19930053.

It is an arithmetic number, because the mean of its divisors is an integer number (234151461180).

Almost surely, 2^{10031034122121} is an apocalyptic number.

It is an amenable number.

10031034122121 is a deficient number, since it is larger than the sum of its proper divisors (4954659393399).

10031034122121 is a wasteful number, since it uses less digits than its factorization.

10031034122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510186.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10031034122121 its reverse (12122143013001), we get a palindrome (22153177135122).

The spelling of 10031034122121 in words is "ten trillion, thirty-one billion, thirty-four million, one hundred twenty-two thousand, one hundred twenty-one".