10200434020 has 96 divisors (see below), whose sum is σ = 24834700800. Its totient is φ = 3447097344.

The previous prime is 10200434011. The next prime is 10200434063. The reversal of 10200434020 is 2043400201.

It is a junction number, because it is equal to n+sod(n) for n = 10200433985 and 10200434003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3300636 + ... + 3303724.

It is an arithmetic number, because the mean of its divisors is an integer number (258694800).

Almost surely, 2^10200434020 is an apocalyptic number.

10200434020 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 10200434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417350400).

10200434020 is an abundant number, since it is smaller than the sum of its proper divisors (14634266780).

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

10200434020 is a wasteful number, since it uses less digits than its factorization.

10200434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10200434020 its reverse (2043400201), we get a palindrome (12243834221).

The spelling of 10200434020 in words is "ten billion, two hundred million, four hundred thirty-four thousand, twenty".