312121001010 has 256 divisors, whose sum is σ = 952596578304. Its totient is φ = 63687140352.

The previous prime is 312121000999. The next prime is 312121001039. The reversal of 312121001010 is 10100121213.

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 127 ways as a sum of consecutive naturals, for example, 16859419 + ... + 16877921.

It is an arithmetic number, because the mean of its divisors is an integer number (3721080384).

Almost surely, 2^312121001010 is an apocalyptic number.

312121001010 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 312121001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476298289152).

312121001010 is an abundant number, since it is smaller than the sum of its proper divisors (640475577294).

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

312121001010 is a wasteful number, since it uses less digits than its factorization.

312121001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18737.

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

Adding to 312121001010 its reverse (10100121213), we get a palindrome (322221122223).

The spelling of 312121001010 in words is "three hundred twelve billion, one hundred twenty-one million, one thousand, ten".