10020210312 has 144 divisors (see below), whose sum is σ = 30956430960. Its totient is φ = 2694418944.

The previous prime is 10020210311. The next prime is 10020210331. The reversal of 10020210312 is 21301202001.

It is a super-2 number, since 2×10020210312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10020210311) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 325123 + ... + 354605.

It is an arithmetic number, because the mean of its divisors is an integer number (214975215).

Almost surely, 2^10020210312 is an apocalyptic number.

10020210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478215480).

10020210312 is an abundant number, since it is smaller than the sum of its proper divisors (20936220648).

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

10020210312 is a wasteful number, since it uses less digits than its factorization.

10020210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29540 (or 29512 counting only the distinct ones).

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

Adding to 10020210312 its reverse (21301202001), we get a palindrome (31321412313).

The spelling of 10020210312 in words is "ten billion, twenty million, two hundred ten thousand, three hundred twelve".