10112011101 has 6 divisors (see below), whose sum is σ = 14606238270. Its totient is φ = 6741340728.

The previous prime is 10112011099. The next prime is 10112011127. The reversal of 10112011101 is 10111021101.

10112011101 is digitally balanced in base 3, 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 only one way, i.e., 5112107001 + 4999904100 = 71499^2 + 70710^2 .

It is not a de Polignac number, because 10112011101 - 2¹ = 10112011099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1123556789 = 10112011101 / (1 + 0 + 1 + 1 + 2 + 0 + 1 + 1 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112011141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561778386 + ... + 561778403.

It is an arithmetic number, because the mean of its divisors is an integer number (2434373045).

Almost surely, 2^10112011101 is an apocalyptic number.

It is an amenable number.

10112011101 is a deficient number, since it is larger than the sum of its proper divisors (4494227169).

10112011101 is a wasteful number, since it uses less digits than its factorization.

10112011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123556795 (or 1123556792 counting only the distinct ones).

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

Adding to 10112011101 its reverse (10111021101), we get a palindrome (20223032202).

The spelling of 10112011101 in words is "ten billion, one hundred twelve million, eleven thousand, one hundred one".