11121121201101 has 128 divisors (see below), whose sum is σ = 16991639808000. Its totient is φ = 6436281793536.

The previous prime is 11121121201079. The next prime is 11121121201103. The reversal of 11121121201101 is 10110212112111.

It is not a de Polignac number, because 11121121201101 - 2¹¹ = 11121121199053 is a prime.

It is a super-2 number, since 2×11121121201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121121201103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2322219615 + ... + 2322224403.

It is an arithmetic number, because the mean of its divisors is an integer number (132747186000).

Almost surely, 2^{11121121201101} is an apocalyptic number.

It is an amenable number.

11121121201101 is a deficient number, since it is larger than the sum of its proper divisors (5870518606899).

11121121201101 is a wasteful number, since it uses less digits than its factorization.

11121121201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121121201101 its reverse (10110212112111), we get a palindrome (21231333313212).

The spelling of 11121121201101 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, one hundred one".