10111112010106 has 8 divisors (see below), whose sum is σ = 15187359242484. Its totient is φ = 5048658929280.

The previous prime is 10111112010101. The next prime is 10111112010107. The reversal of 10111112010106 is 60101021111101.

It can be written as a sum of positive squares in 2 ways, for example, as 9538887843081 + 572224167025 = 3088509^2 + 756455^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10111112010106² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111112010106.

It is not an unprimeable number, because it can be changed into a prime (10111112010101) 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 3 ways as a sum of consecutive naturals, for example, 3448536055 + ... + 3448538986.

Almost surely, 2^{10111112010106} is an apocalyptic number.

10111112010106 is a deficient number, since it is larger than the sum of its proper divisors (5076247232378).

10111112010106 is an equidigital number, since it uses as much as digits as its factorization.

10111112010106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6897075776.

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 10111112010106 its reverse (60101021111101), we get a palindrome (70212133121207).

The spelling of 10111112010106 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, ten thousand, one hundred six".