10001101106112 has 56 divisors (see below), whose sum is σ = 26464158172416. Its totient is φ = 3333333566208.

The previous prime is 10001101106083. The next prime is 10001101106119. The reversal of 10001101106112 is 21160110110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001101106091 and 10001101106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001101106119) 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, 1113318 + ... + 4608869.

Almost surely, 2^{10001101106112} is an apocalyptic number.

10001101106112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001101106112 is an abundant number, since it is smaller than the sum of its proper divisors (16463057066304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001101106112 is an equidigital number, since it uses as much as digits as its factorization.

10001101106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731305 (or 5731295 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10001101106112 its reverse (21160110110001), we get a palindrome (31161211216113).

The spelling of 10001101106112 in words is "ten trillion, one billion, one hundred one million, one hundred six thousand, one hundred twelve".