610102120 has 96 divisors (see below), whose sum is σ = 1477099800. Its totient is φ = 226721792.

The previous prime is 610102109. The next prime is 610102121. The reversal of 610102120 is 21201016.

610102120 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 12 ways, for example, as 145009764 + 465092356 = 12042^2 + 21566^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 610102120.

It is not an unprimeable number, because it can be changed into a prime (610102121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028544 + ... + 1029136.

Almost surely, 2^610102120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738549900).

610102120 is an abundant number, since it is smaller than the sum of its proper divisors (866997680).

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

610102120 is a wasteful number, since it uses less digits than its factorization.

610102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 610102120 is about 24700.2453429111. The cubic root of 610102120 is about 848.1399325563.

Adding to 610102120 its reverse (21201016), we get a palindrome (631303136).

The spelling of 610102120 in words is "six hundred ten million, one hundred two thousand, one hundred twenty".