10022012012000 has 96 divisors (see below), whose sum is σ = 24692677813440. Its totient is φ = 3997637644800.

The previous prime is 10022012011951. The next prime is 10022012012021. The reversal of 10022012012000 is 21021022001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2053559 + ... + 4925558.

It is an arithmetic number, because the mean of its divisors is an integer number (257215393890).

Almost surely, 2^{10022012012000} is an apocalyptic number.

10022012012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022012012000 is an abundant number, since it is smaller than the sum of its proper divisors (14670665801440).

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

10022012012000 is an equidigital number, since it uses as much as digits as its factorization.

10022012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979501 (or 6979483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022012012000 its reverse (21021022001), we get a palindrome (10043033034001).

The spelling of 10022012012000 in words is "ten trillion, twenty-two billion, twelve million, twelve thousand".