10121120012033 has 16 divisors (see below), whose sum is σ = 10566597806160. Its totient is φ = 9686010295296.

The previous prime is 10121120012027. The next prime is 10121120012111. The reversal of 10121120012033 is 33021002112101.

It can be written as a sum of positive squares in 8 ways, for example, as 2997943342849 + 7123176669184 = 1731457^2 + 2668928^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121120012033 - 2⁶ = 10121120011969 is a prime.

It is a super-3 number, since 3×10121120012033³ (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 (10121120012023) 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 15 ways as a sum of consecutive naturals, for example, 8606516 + ... + 9711557.

It is an arithmetic number, because the mean of its divisors is an integer number (660412362885).

Almost surely, 2^{10121120012033} is an apocalyptic number.

It is an amenable number.

10121120012033 is a deficient number, since it is larger than the sum of its proper divisors (445477794127).

10121120012033 is a wasteful number, since it uses less digits than its factorization.

10121120012033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18318356.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10121120012033 its reverse (33021002112101), we get a palindrome (43142122124134).

The spelling of 10121120012033 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, thirty-three".