10201089035800 has 384 divisors, whose sum is σ = 26210275560000. Its totient is φ = 3669359616000.

The previous prime is 10201089035779. The next prime is 10201089035801. The reversal of 10201089035800 is 853098010201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201089035800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201089035801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12425199390 + ... + 12425200210.

Almost surely, 2^{10201089035800} is an apocalyptic number.

10201089035800 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 10201089035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13105137780000).

10201089035800 is an abundant number, since it is smaller than the sum of its proper divisors (16009186524200).

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

10201089035800 is a wasteful number, since it uses less digits than its factorization.

10201089035800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 10201089035800 in words is "ten trillion, two hundred one billion, eighty-nine million, thirty-five thousand, eight hundred".