10121112011 has 8 divisors (see below), whose sum is σ = 10168215360. Its totient is φ = 10074048768.

The previous prime is 10121111927. The next prime is 10121112041. The reversal of 10121112011 is 11021112101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121112011 - 2³⁰ = 9047370187 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121111983 and 10121112001.

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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 573755 + ... + 591131.

It is an arithmetic number, because the mean of its divisors is an integer number (1271026920).

Almost surely, 2^10121112011 is an apocalyptic number.

10121112011 is a deficient number, since it is larger than the sum of its proper divisors (47103349).

10121112011 is a wasteful number, since it uses less digits than its factorization.

10121112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121112011 its reverse (11021112101), we get a palindrome (21142224112).

The spelling of 10121112011 in words is "ten billion, one hundred twenty-one million, one hundred twelve thousand, eleven".