10100010312 has 64 divisors (see below), whose sum is σ = 32063529600. Its totient is φ = 2885716800.

The previous prime is 10100010269. The next prime is 10100010313. The reversal of 10100010312 is 21301000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100010294 and 10100010303.

It is not an unprimeable number, because it can be changed into a prime (10100010313) 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, 3338439 + ... + 3341462.

It is an arithmetic number, because the mean of its divisors is an integer number (500992650).

Almost surely, 2^10100010312 is an apocalyptic number.

10100010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100010312 is an abundant number, since it is smaller than the sum of its proper divisors (21963519288).

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

10100010312 is a wasteful number, since it uses less digits than its factorization.

10100010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6679923 (or 6679913 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100010312 its reverse (21301000101), we get a palindrome (31401010413).

The spelling of 10100010312 in words is "ten billion, one hundred million, ten thousand, three hundred twelve".