212102601325 has 48 divisors (see below), whose sum is σ = 270278482320. Its totient is φ = 165058560000.

The previous prime is 212102601317. The next prime is 212102601349. The reversal of 212102601325 is 523106201212.

212102601325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 102346886889 + 109755714436 = 319917^2 + 331294^2 .

It is not a de Polignac number, because 212102601325 - 2³ = 212102601317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 212102601325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132480525 + ... + 132482125.

It is an arithmetic number, because the mean of its divisors is an integer number (5630801715).

Almost surely, 2^212102601325 is an apocalyptic number.

212102601325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212102601325 is a deficient number, since it is larger than the sum of its proper divisors (58175880995).

212102601325 is a wasteful number, since it uses less digits than its factorization.

212102601325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 212102601325 its reverse (523106201212), we get a palindrome (735208802537).

The spelling of 212102601325 in words is "two hundred twelve billion, one hundred two million, six hundred one thousand, three hundred twenty-five".