11200141132401 has 16 divisors (see below), whose sum is σ = 16474504032000. Its totient is φ = 6724287358080.

The previous prime is 11200141132303. The next prime is 11200141132417. The reversal of 11200141132401 is 10423114100211.

It is not a de Polignac number, because 11200141132401 - 2¹⁸ = 11200140870257 is a prime.

It is a super-3 number, since 3×11200141132401³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11200141132421) by changing a digit.

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, 3502231401 + ... + 3502234598.

It is an arithmetic number, because the mean of its divisors is an integer number (1029656502000).

Almost surely, 2^{11200141132401} is an apocalyptic number.

It is an amenable number.

11200141132401 is a deficient number, since it is larger than the sum of its proper divisors (5274362899599).

11200141132401 is a wasteful number, since it uses less digits than its factorization.

11200141132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004466056.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 11200141132401 its reverse (10423114100211), we get a palindrome (21623255232612).

The spelling of 11200141132401 in words is "eleven trillion, two hundred billion, one hundred forty-one million, one hundred thirty-two thousand, four hundred one".