10129682220 has 192 divisors, whose sum is σ = 35159878656. Its totient is φ = 2125946880.

The previous prime is 10129682219. The next prime is 10129682239. The reversal of 10129682220 is 2228692101.

It is a super-2 number, since 2×10129682220² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 275439 + ... + 310041.

It is an arithmetic number, because the mean of its divisors is an integer number (183124368).

Almost surely, 2^10129682220 is an apocalyptic number.

10129682220 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 10129682220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17579939328).

10129682220 is an abundant number, since it is smaller than the sum of its proper divisors (25030196436).

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

10129682220 is a wasteful number, since it uses less digits than its factorization.

10129682220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34680 (or 34678 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10129682220 in words is "ten billion, one hundred twenty-nine million, six hundred eighty-two thousand, two hundred twenty".