10100112011 has 8 divisors (see below), whose sum is σ = 11019187200. Its totient is φ = 9181184040.

The previous prime is 10100111999. The next prime is 10100112013. The reversal of 10100112011 is 11021100101.

It is a happy number.

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 10100112011 - 2²⁶ = 10033003147 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100112011.

It is not an unprimeable number, because it can be changed into a prime (10100112013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146270 + ... + 203948.

It is an arithmetic number, because the mean of its divisors is an integer number (1377398400).

Almost surely, 2^10100112011 is an apocalyptic number.

10100112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100112011 is a deficient number, since it is larger than the sum of its proper divisors (919075189).

10100112011 is a wasteful number, since it uses less digits than its factorization.

10100112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73609.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100112011 its reverse (11021100101), we get a palindrome (21121212112).

The spelling of 10100112011 in words is "ten billion, one hundred million, one hundred twelve thousand, eleven".