10208142120 has 128 divisors (see below), whose sum is σ = 33715440000. Its totient is φ = 2451962880.

The previous prime is 10208142089. The next prime is 10208142127. The reversal of 10208142120 is 2124180201.

It is not an unprimeable number, because it can be changed into a prime (10208142127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108406 + ... + 179354.

It is an arithmetic number, because the mean of its divisors is an integer number (263401875).

Almost surely, 2^10208142120 is an apocalyptic number.

10208142120 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 10208142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857720000).

10208142120 is an abundant number, since it is smaller than the sum of its proper divisors (23507297880).

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

10208142120 is a wasteful number, since it uses less digits than its factorization.

10208142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71083 (or 71079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 10208142120 in words is "ten billion, two hundred eight million, one hundred forty-two thousand, one hundred twenty".