10200104000 has 112 divisors (see below), whose sum is σ = 25307611056. Its totient is φ = 4072448000.

The previous prime is 10200103999. The next prime is 10200104011. The reversal of 10200104000 is 40100201.

It can be written as a sum of positive squares in 8 ways, for example, as 6785805376 + 3414298624 = 82376^2 + 58432^2 .

It is a super-2 number, since 2×10200104000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 6567224 + ... + 6568776.

It is an arithmetic number, because the mean of its divisors is an integer number (225960813).

Almost surely, 2^10200104000 is an apocalyptic number.

10200104000 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 10200104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12653805528).

10200104000 is an abundant number, since it is smaller than the sum of its proper divisors (15107507056).

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

10200104000 is an equidigital number, since it uses as much as digits as its factorization.

10200104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200104000 its reverse (40100201), we get a palindrome (10240204201).

The spelling of 10200104000 in words is "ten billion, two hundred million, one hundred four thousand".