10011201102000 has 320 divisors, whose sum is σ = 40985541043200. Its totient is φ = 2288274451200.

The previous prime is 10011201101999. The next prime is 10011201102037. The reversal of 10011201102000 is 20110211001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 63 ways as a sum of consecutive naturals, for example, 12864330 + ... + 13620329.

It is an arithmetic number, because the mean of its divisors is an integer number (128079815760).

Almost surely, 2^{10011201102000} is an apocalyptic number.

10011201102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011201102000 is an abundant number, since it is smaller than the sum of its proper divisors (30974339941200).

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

10011201102000 is a wasteful number, since it uses less digits than its factorization.

10011201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26484698 (or 26484676 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011201102000 its reverse (20110211001), we get a palindrome (10031311313001).

The spelling of 10011201102000 in words is "ten trillion, eleven billion, two hundred one million, one hundred two thousand".