10021001000112 has 30 divisors (see below), whose sum is σ = 28044884743772. Its totient is φ = 3340333666656.

The previous prime is 10021001000107. The next prime is 10021001000123. The reversal of 10021001000112 is 21100010012001.

It is a happy number.

It is a super-2 number, since 2×10021001000112² (a number of 27 digits) contains 22 as substring.

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 = 10021001000094 and 10021001000103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34795142218 + ... + 34795142505.

Almost surely, 2^{10021001000112} is an apocalyptic number.

10021001000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021001000112 is an abundant number, since it is smaller than the sum of its proper divisors (18023883743660).

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

10021001000112 is a wasteful number, since it uses less digits than its factorization.

10021001000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69590284737 (or 69590284728 counting only the distinct ones).

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

Adding to 10021001000112 its reverse (21100010012001), we get a palindrome (31121011012113).

The spelling of 10021001000112 in words is "ten trillion, twenty-one billion, one million, one hundred twelve", and thus it is an aban number.