10123210000 has 50 divisors (see below), whose sum is σ = 24509327942. Its totient is φ = 4049280000.

The previous prime is 10123209989. The next prime is 10123210067. The reversal of 10123210000 is 1232101.

10123210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 1494286336 + 8628923664 = 38656^2 + 92892^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 496161 + ... + 516160.

Almost surely, 2^10123210000 is an apocalyptic number.

10123210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123210000 is an abundant number, since it is smaller than the sum of its proper divisors (14386117942).

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

10123210000 is an equidigital number, since it uses as much as digits as its factorization.

10123210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012349 (or 1012328 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10123210000 its reverse (1232101), we get a palindrome (10124442101).

The spelling of 10123210000 in words is "ten billion, one hundred twenty-three million, two hundred ten thousand".