10110112201101 has 32 divisors (see below), whose sum is σ = 15480223879680. Its totient is φ = 5804614267200.

The previous prime is 10110112201097. The next prime is 10110112201121. The reversal of 10110112201101 is 10110221101101.

It is not a de Polignac number, because 10110112201101 - 2² = 10110112201097 is a prime.

It is a super-2 number, since 2×10110112201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110112201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15821286 + ... + 16447896.

It is an arithmetic number, because the mean of its divisors is an integer number (483756996240).

Almost surely, 2^{10110112201101} is an apocalyptic number.

10110112201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110112201101 is a deficient number, since it is larger than the sum of its proper divisors (5370111678579).

10110112201101 is a wasteful number, since it uses less digits than its factorization.

10110112201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652377.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10110112201101 its reverse (10110221101101), we get a palindrome (20220333302202).

The spelling of 10110112201101 in words is "ten trillion, one hundred ten billion, one hundred twelve million, two hundred one thousand, one hundred one".