11201121010113 has 16 divisors (see below), whose sum is σ = 15146257391616. Its totient is φ = 7362338078160.

The previous prime is 11201121010099. The next prime is 11201121010127. The reversal of 11201121010113 is 31101012110211.

It is an interprime number because it is at equal distance from previous prime (11201121010099) and next prime (11201121010127).

It is not a de Polignac number, because 11201121010113 - 2¹⁸ = 11201120747969 is a prime.

It is a super-2 number, since 2×11201121010113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201121010092 and 11201121010101.

It is not an unprimeable number, because it can be changed into a prime (11201121012113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79774753 + ... + 79915038.

It is an arithmetic number, because the mean of its divisors is an integer number (946641086976).

Almost surely, 2^{11201121010113} is an apocalyptic number.

It is an amenable number.

11201121010113 is a deficient number, since it is larger than the sum of its proper divisors (3945136381503).

11201121010113 is a wasteful number, since it uses less digits than its factorization.

11201121010113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159690124.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11201121010113 its reverse (31101012110211), we get a palindrome (42302133120324).

The spelling of 11201121010113 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, ten thousand, one hundred thirteen".