10204434011000 has 64 divisors (see below), whose sum is σ = 23933778860160. Its totient is φ = 4072302960000.

The previous prime is 10204434010973. The next prime is 10204434011017. The reversal of 10204434011000 is 11043440201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11407091 + ... + 12269090.

It is an arithmetic number, because the mean of its divisors is an integer number (373965294690).

Almost surely, 2^{10204434011000} is an apocalyptic number.

10204434011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204434011000 is an abundant number, since it is smaller than the sum of its proper divisors (13729344849160).

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

10204434011000 is a wasteful number, since it uses less digits than its factorization.

10204434011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23676633 (or 23676619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10204434011000 its reverse (11043440201), we get a palindrome (10215477451201).

The spelling of 10204434011000 in words is "ten trillion, two hundred four billion, four hundred thirty-four million, eleven thousand".