100210410312 has 64 divisors (see below), whose sum is σ = 251231544000. Its totient is φ = 33309533184.

The previous prime is 100210410241. The next prime is 100210410319. The reversal of 100210410312 is 213014012001.

It is a junction number, because it is equal to n+sod(n) for n = 100210410291 and 100210410300.

It is not an unprimeable number, because it can be changed into a prime (100210410319) 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, 15251764 + ... + 15258332.

It is an arithmetic number, because the mean of its divisors is an integer number (3925492875).

Almost surely, 2^100210410312 is an apocalyptic number.

100210410312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100210410312 is an abundant number, since it is smaller than the sum of its proper divisors (151021133688).

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

100210410312 is a wasteful number, since it uses less digits than its factorization.

100210410312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100210410312 its reverse (213014012001), we get a palindrome (313224422313).

The spelling of 100210410312 in words is "one hundred billion, two hundred ten million, four hundred ten thousand, three hundred twelve".