10022010012 has 192 divisors, whose sum is σ = 30117642240. Its totient is φ = 2823014592.

The previous prime is 10022009999. The next prime is 10022010023. The reversal of 10022010012 is 21001022001.

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 = 10022009976 and 10022010003.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 20578833 + ... + 20579319.

It is an arithmetic number, because the mean of its divisors is an integer number (156862720).

Almost surely, 2^10022010012 is an apocalyptic number.

10022010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058821120).

10022010012 is an abundant number, since it is smaller than the sum of its proper divisors (20095632228).

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

10022010012 is a wasteful number, since it uses less digits than its factorization.

10022010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

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

Adding to 10022010012 its reverse (21001022001), we get a palindrome (31023032013).

The spelling of 10022010012 in words is "ten billion, twenty-two million, ten thousand, twelve".