10123001221000 has 64 divisors (see below), whose sum is σ = 23808066076080. Its totient is φ = 4028646092800.

The previous prime is 10123001220967. The next prime is 10123001221007. The reversal of 10123001221000 is 12210032101.

It can be written as a sum of positive squares in 8 ways, for example, as 173607222244 + 9949393998756 = 416662^2 + 3154266^2 .

It is not an unprimeable number, because it can be changed into a prime (10123001221007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25495897 + ... + 25889896.

Almost surely, 2^{10123001221000} is an apocalyptic number.

10123001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123001221000 is an abundant number, since it is smaller than the sum of its proper divisors (13685064855080).

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

10123001221000 is a wasteful number, since it uses less digits than its factorization.

10123001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51386011 (or 51385997 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10123001221000 its reverse (12210032101), we get a palindrome (10135211253101).

The spelling of 10123001221000 in words is "ten trillion, one hundred twenty-three billion, one million, two hundred twenty-one thousand".