10200100040 has 32 divisors (see below), whose sum is σ = 24715628280. Its totient is φ = 3766190592.

The previous prime is 10200100039. The next prime is 10200100061. The reversal of 10200100040 is 4000100201.

It can be written as a sum of positive squares in 4 ways, for example, as 3512458756 + 6687641284 = 59266^2 + 81778^2 .

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

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 7 ways as a sum of consecutive naturals, for example, 9807269 + ... + 9808308.

Almost surely, 2^10200100040 is an apocalyptic number.

10200100040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200100040 is an abundant number, since it is smaller than the sum of its proper divisors (14515528240).

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

10200100040 is a wasteful number, since it uses less digits than its factorization.

10200100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615601 (or 19615597 counting only the distinct ones).

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

Adding to 10200100040 its reverse (4000100201), we get a palindrome (14200200241).

The spelling of 10200100040 in words is "ten billion, two hundred million, one hundred thousand, forty".