212131122101310 has 128 divisors (see below), whose sum is σ = 518355383810688. Its totient is φ = 55544832000000.

The previous prime is 212131122101291. The next prime is 212131122101351. The reversal of 212131122101310 is 13101221131212.

212131122101310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212131122101310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030366310 + ... + 3030436310.

It is an arithmetic number, because the mean of its divisors is an integer number (4049651436021).

Almost surely, 2^{212131122101310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212131122101310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259177691905344).

212131122101310 is an abundant number, since it is smaller than the sum of its proper divisors (306224261709378).

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

212131122101310 is a wasteful number, since it uses less digits than its factorization.

212131122101310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72910.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 212131122101310 its reverse (13101221131212), we get a palindrome (225232343232522).

The spelling of 212131122101310 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred one thousand, three hundred ten".