10001002012121 has 4 divisors (see below), whose sum is σ = 10345864150500. Its totient is φ = 9656139873744.

The previous prime is 10001002012087. The next prime is 10001002012139. The reversal of 10001002012121 is 12121020010001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3421464078400 + 6579537933721 = 1849720^2 + 2565061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001002012121 - 2¹⁴ = 10001001995737 is a prime.

It is a super-3 number, since 3×10001002012121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001002012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172431069146 + ... + 172431069203.

It is an arithmetic number, because the mean of its divisors is an integer number (2586466037625).

Almost surely, 2^{10001002012121} is an apocalyptic number.

It is an amenable number.

10001002012121 is a deficient number, since it is larger than the sum of its proper divisors (344862138379).

10001002012121 is an equidigital number, since it uses as much as digits as its factorization.

10001002012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344862138378.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001002012121 its reverse (12121020010001), we get a palindrome (22122022022122).

The spelling of 10001002012121 in words is "ten trillion, one billion, two million, twelve thousand, one hundred twenty-one".