10312121100 has 72 divisors (see below), whose sum is σ = 30026581648. Its totient is φ = 2732371200.

The previous prime is 10312121089. The next prime is 10312121111. The reversal of 10312121100 is 112121301.

10312121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10312121089) and next prime (10312121111).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 62371 + ... + 156570.

Almost surely, 2^10312121100 is an apocalyptic number.

10312121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312121100 is an abundant number, since it is smaller than the sum of its proper divisors (19714460548).

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

10312121100 is a wasteful number, since it uses less digits than its factorization.

10312121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219115 (or 219108 counting only the distinct ones).

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

Adding to 10312121100 its reverse (112121301), we get a palindrome (10424242401).

The spelling of 10312121100 in words is "ten billion, three hundred twelve million, one hundred twenty-one thousand, one hundred".