10100221312 has 32 divisors (see below), whose sum is σ = 20205088200. Its totient is φ = 5029140480.

The previous prime is 10100221277. The next prime is 10100221331. The reversal of 10100221312 is 21312200101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 10100221292 and 10100221301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132862 + ... + 194557.

Almost surely, 2^10100221312 is an apocalyptic number.

It is an amenable number.

10100221312 is an abundant number, since it is smaller than the sum of its proper divisors (10104866888).

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

10100221312 is an equidigital number, since it uses as much as digits as its factorization.

10100221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327674 (or 327662 counting only the distinct ones).

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

Adding to 10100221312 its reverse (21312200101), we get a palindrome (31412421413).

The spelling of 10100221312 in words is "ten billion, one hundred million, two hundred twenty-one thousand, three hundred twelve".