10001013010121 has 24 divisors (see below), whose sum is σ = 11701910342304. Its totient is φ = 8522273450880.

The previous prime is 10001013010061. The next prime is 10001013010127. The reversal of 10001013010121 is 12101031010001.

It is a happy number.

10001013010121 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 10001013010121 - 2¹⁸ = 10001012747977 is a prime.

It is a super-2 number, since 2×10001013010121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001013010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5171606 + ... + 6837216.

It is an arithmetic number, because the mean of its divisors is an integer number (487579597596).

Almost surely, 2^{10001013010121} is an apocalyptic number.

It is an amenable number.

10001013010121 is a deficient number, since it is larger than the sum of its proper divisors (1700897332183).

10001013010121 is a wasteful number, since it uses less digits than its factorization.

10001013010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666341 (or 1666334 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10001013010121 its reverse (12101031010001), we get a palindrome (22102044020122).

The spelling of 10001013010121 in words is "ten trillion, one billion, thirteen million, ten thousand, one hundred twenty-one".