10312121000 has 32 divisors (see below), whose sum is σ = 24130365480. Its totient is φ = 4124848000.

The previous prime is 10312120999. The next prime is 10312121023. The reversal of 10312121000 is 12121301.

10312121000 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 4 ways, for example, as 6850210756 + 3461910244 = 82766^2 + 58838^2 .

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 7 ways as a sum of consecutive naturals, for example, 5155061 + ... + 5157060.

Almost surely, 2^10312121000 is an apocalyptic number.

10312121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312121000 is an abundant number, since it is smaller than the sum of its proper divisors (13818244480).

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

10312121000 is a wasteful number, since it uses less digits than its factorization.

10312121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312142 (or 10312128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10312121000 its reverse (12121301), we get a palindrome (10324242301).

The spelling of 10312121000 in words is "ten billion, three hundred twelve million, one hundred twenty-one thousand".