10010121212001 has 32 divisors (see below), whose sum is σ = 14181298864128. Its totient is φ = 6270965507520.

The previous prime is 10010121211931. The next prime is 10010121212089. The reversal of 10010121212001 is 10021212101001.

It is not a de Polignac number, because 10010121212001 - 2¹⁰ = 10010121210977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010126212001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8461110 + ... + 9571343.

It is an arithmetic number, because the mean of its divisors is an integer number (443165589504).

Almost surely, 2^{10010121212001} is an apocalyptic number.

It is an amenable number.

10010121212001 is a deficient number, since it is larger than the sum of its proper divisors (4171177652127).

10010121212001 is a wasteful number, since it uses less digits than its factorization.

10010121212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18032661.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010121212001 its reverse (10021212101001), we get a palindrome (20031333313002).

It can be divided in two parts, 100 and 10121212001, that added together give a palindrome (10121212101).

The spelling of 10010121212001 in words is "ten trillion, ten billion, one hundred twenty-one million, two hundred twelve thousand, one".