10112011101101 has 32 divisors (see below), whose sum is σ = 12875281789440. Its totient is φ = 7724481843456.

The previous prime is 10112011101029. The next prime is 10112011101103. The reversal of 10112011101101 is 10110111021101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10112011101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112011101103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70249535 + ... + 70393331.

It is an arithmetic number, because the mean of its divisors is an integer number (402352555920).

Almost surely, 2^{10112011101101} is an apocalyptic number.

It is an amenable number.

10112011101101 is a deficient number, since it is larger than the sum of its proper divisors (2763270688339).

10112011101101 is a wasteful number, since it uses less digits than its factorization.

10112011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170493.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10112011101101 its reverse (10110111021101), we get a palindrome (20222122122202).

The spelling of 10112011101101 in words is "ten trillion, one hundred twelve billion, eleven million, one hundred one thousand, one hundred one".