10012111101 has 12 divisors (see below), whose sum is σ = 14463099612. Its totient is φ = 6674204736.

The previous prime is 10012111093. The next prime is 10012111129. The reversal of 10012111101 is 10111121001.

10012111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1007999001 + 9004112100 = 31749^2 + 94890^2 .

It is not a de Polignac number, because 10012111101 - 2³ = 10012111093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012111171) 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 11 ways as a sum of consecutive naturals, for example, 97425 + ... + 171801.

It is an arithmetic number, because the mean of its divisors is an integer number (1205258301).

Almost surely, 2^10012111101 is an apocalyptic number.

It is an amenable number.

10012111101 is a deficient number, since it is larger than the sum of its proper divisors (4450988511).

10012111101 is a wasteful number, since it uses less digits than its factorization.

10012111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89340 (or 89337 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10012111101 its reverse (10111121001), we get a palindrome (20123232102).

The spelling of 10012111101 in words is "ten billion, twelve million, one hundred eleven thousand, one hundred one".