10000001021112 has 96 divisors (see below), whose sum is σ = 27118312275600. Its totient is φ = 3329031633408.

The previous prime is 10000001021099. The next prime is 10000001021141. The reversal of 10000001021112 is 21112010000001.

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 = 10000001021094 and 10000001021103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187404228 + ... + 187457580.

Almost surely, 2^{10000001021112} is an apocalyptic number.

10000001021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000001021112 is an abundant number, since it is smaller than the sum of its proper divisors (17118311254488).

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

10000001021112 is a wasteful number, since it uses less digits than its factorization.

10000001021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56677 (or 56670 counting only the distinct ones).

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

Adding to 10000001021112 its reverse (21112010000001), we get a palindrome (31112011021113).

The spelling of 10000001021112 in words is "ten trillion, one million, twenty-one thousand, one hundred twelve".