11201012101000 has 64 divisors (see below), whose sum is σ = 27055864143360. Its totient is φ = 4335875640000.

The previous prime is 11201012100953. The next prime is 11201012101033. The reversal of 11201012101000 is 10121010211.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 180630486 + ... + 180692485.

It is an arithmetic number, because the mean of its divisors is an integer number (422747877240).

Almost surely, 2^{11201012101000} is an apocalyptic number.

11201012101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201012101000 is an abundant number, since it is smaller than the sum of its proper divisors (15854852042360).

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

11201012101000 is a wasteful number, since it uses less digits than its factorization.

11201012101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361323023 (or 361323009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201012101000 its reverse (10121010211), we get a palindrome (11211133111211).

The spelling of 11201012101000 in words is "eleven trillion, two hundred one billion, twelve million, one hundred one thousand".