10284170112120 has 64 divisors (see below), whose sum is σ = 30886082496000. Its totient is φ = 2739461171328.

The previous prime is 10284170112113. The next prime is 10284170112187. The reversal of 10284170112120 is 2121107148201.

10284170112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46517260 + ... + 46737819.

It is an arithmetic number, because the mean of its divisors is an integer number (482595039000).

Almost surely, 2^{10284170112120} is an apocalyptic number.

10284170112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10284170112120 is an abundant number, since it is smaller than the sum of its proper divisors (20601912383880).

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

10284170112120 is a wasteful number, since it uses less digits than its factorization.

10284170112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93256012 (or 93256008 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The spelling of 10284170112120 in words is "ten trillion, two hundred eighty-four billion, one hundred seventy million, one hundred twelve thousand, one hundred twenty".