10141201800 has 72 divisors (see below), whose sum is σ = 34057542090. Its totient is φ = 2704320000.

The previous prime is 10141201789. The next prime is 10141201813. The reversal of 10141201800 is 810214101.

10141201800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4937310756 + 5203891044 = 70266^2 + 72138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2815201 + ... + 2818800.

Almost surely, 2^10141201800 is an apocalyptic number.

10141201800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141201800 is an abundant number, since it is smaller than the sum of its proper divisors (23916340290).

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

10141201800 is a wasteful number, since it uses less digits than its factorization.

10141201800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634023 (or 5634011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10141201800 its reverse (810214101), we get a palindrome (10951415901).

The spelling of 10141201800 in words is "ten billion, one hundred forty-one million, two hundred one thousand, eight hundred".