11201000102001 has 24 divisors (see below), whose sum is σ = 16216627787880. Its totient is φ = 7450084325376.

The previous prime is 11201000101961. The next prime is 11201000102011. The reversal of 11201000102001 is 10020100010211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5358410150976 + 5842589951025 = 2314824^2 + 2417145^2 .

It is not a de Polignac number, because 11201000102001 - 2¹³ = 11201000093809 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11201000102011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8377155 + ... + 9621783.

It is an arithmetic number, because the mean of its divisors is an integer number (675692824495).

Almost surely, 2^{11201000102001} is an apocalyptic number.

It is an amenable number.

11201000102001 is a deficient number, since it is larger than the sum of its proper divisors (5015627685879).

11201000102001 is a wasteful number, since it uses less digits than its factorization.

11201000102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246945 (or 1246942 counting only the distinct ones).

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

Adding to 11201000102001 its reverse (10020100010211), we get a palindrome (21221100112212).

The spelling of 11201000102001 in words is "eleven trillion, two hundred one billion, one hundred two thousand, one".