10246106310120 has 288 divisors, whose sum is σ = 33726624399000. Its totient is φ = 2697703981056.

The previous prime is 10246106310101. The next prime is 10246106310131. The reversal of 10246106310120 is 2101360164201.

It is a happy number.

10246106310120 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 6 + 1 + 0 + 631 + 0 + 1 + 20 = 666.

10246106310120 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 1089297165636 + 9156809144484 = 1043694^2 + 3026022^2 .

It is a super-2 number, since 2×10246106310120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1520867392 + ... + 1520874128.

Almost surely, 2^{10246106310120} is an apocalyptic number.

10246106310120 is a gapful number since it is divisible by the number (10) 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 10246106310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863312199500).

10246106310120 is an abundant number, since it is smaller than the sum of its proper divisors (23480518088880).

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

10246106310120 is a wasteful number, since it uses less digits than its factorization.

10246106310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10246106310120 its reverse (2101360164201), we get a palindrome (12347466474321).

The spelling of 10246106310120 in words is "ten trillion, two hundred forty-six billion, one hundred six million, three hundred ten thousand, one hundred twenty".