10000110002112 has 42 divisors (see below), whose sum is σ = 28663509747288. Its totient is φ = 3333370000512.

The previous prime is 10000110002101. The next prime is 10000110002117. The reversal of 10000110002112 is 21120001100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000110002094 and 10000110002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110002117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8680650468 + ... + 8680651619.

Almost surely, 2^{10000110002112} is an apocalyptic number.

10000110002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000110002112 is an abundant number, since it is smaller than the sum of its proper divisors (18663399745176).

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

10000110002112 is a wasteful number, since it uses less digits than its factorization.

10000110002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17361302105 (or 17361302092 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000110002112 its reverse (21120001100001), we get a palindrome (31120111102113).

The spelling of 10000110002112 in words is "ten trillion, one hundred ten million, two thousand, one hundred twelve".