312102020010 has 128 divisors (see below), whose sum is σ = 847537198848. Its totient is φ = 72887040000.

The previous prime is 312102019963. The next prime is 312102020011. The reversal of 312102020010 is 10020201213.

It is not an unprimeable number, because it can be changed into a prime (312102020011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106670 + ... + 1359750.

It is an arithmetic number, because the mean of its divisors is an integer number (6621384366).

Almost surely, 2^312102020010 is an apocalyptic number.

312102020010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312102020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423768599424).

312102020010 is an abundant number, since it is smaller than the sum of its proper divisors (535435178838).

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

312102020010 is a wasteful number, since it uses less digits than its factorization.

312102020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253240.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 312102020010 its reverse (10020201213), we get a palindrome (322122221223).

The spelling of 312102020010 in words is "three hundred twelve billion, one hundred two million, twenty thousand, ten".