10121112001 has 16 divisors (see below), whose sum is σ = 13589186688. Its totient is φ = 7279920000.

The previous prime is 10121111927. The next prime is 10121112041. The reversal of 10121112001 is 10021112101.

10121112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10121112001 - 2¹³ = 10121103809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121112041) 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, 5054500 + ... + 5056501.

It is an arithmetic number, because the mean of its divisors is an integer number (849324168).

Almost surely, 2^10121112001 is an apocalyptic number.

10121112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121112001 is a deficient number, since it is larger than the sum of its proper divisors (3468074687).

10121112001 is a wasteful number, since it uses less digits than its factorization.

10121112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111032.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121112001 its reverse (10021112101), we get a palindrome (20142224102).

The spelling of 10121112001 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, one".