10012099840 has 72 divisors (see below), whose sum is σ = 24087538440. Its totient is φ = 3987234816.

The previous prime is 10012099819. The next prime is 10012099873. The reversal of 10012099840 is 4899021001.

It can be written as a sum of positive squares in 4 ways, for example, as 4383499264 + 5628600576 = 66208^2 + 75024^2 .

It is a super-2 number, since 2×10012099840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012099796 and 10012099805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276042 + ... + 310198.

It is an arithmetic number, because the mean of its divisors is an integer number (334549145).

Almost surely, 2^10012099840 is an apocalyptic number.

10012099840 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 10012099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043769220).

10012099840 is an abundant number, since it is smaller than the sum of its proper divisors (14075438600).

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

10012099840 is an equidigital number, since it uses as much as digits as its factorization.

10012099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34407 (or 34393 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 10012099840 in words is "ten billion, twelve million, ninety-nine thousand, eight hundred forty".