10001022012 has 72 divisors (see below), whose sum is σ = 27289211040. Its totient is φ = 3078768000.

The previous prime is 10001021993. The next prime is 10001022013. The reversal of 10001022012 is 21022010001.

10001022012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×10001022012⁵ (a number of 51 digits) contains 55555 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 = 10001021985 and 10001022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001022013) by changing a digit.

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, 184239 + ... + 232262.

It is an arithmetic number, because the mean of its divisors is an integer number (379016820).

Almost surely, 2^10001022012 is an apocalyptic number.

10001022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001022012 is an abundant number, since it is smaller than the sum of its proper divisors (17288189028).

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

10001022012 is a wasteful number, since it uses less digits than its factorization.

10001022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416563 (or 416558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001022012 its reverse (21022010001), we get a palindrome (31023032013).

The spelling of 10001022012 in words is "ten billion, one million, twenty-two thousand, twelve".