111121011201101 has 16 divisors (see below), whose sum is σ = 128524591911168. Its totient is φ = 94950200640000.

The previous prime is 111121011201091. The next prime is 111121011201107. The reversal of 111121011201101 is 101102110121111.

It is not a de Polignac number, because 111121011201101 - 2¹⁸ = 111121010938957 is a prime.

It is a super-2 number, since 2×111121011201101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121011201107) 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, 395485400 + ... + 395766273.

It is an arithmetic number, because the mean of its divisors is an integer number (8032786994448).

Almost surely, 2^{111121011201101} is an apocalyptic number.

111121011201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111121011201101 is a deficient number, since it is larger than the sum of its proper divisors (17403580710067).

111121011201101 is a wasteful number, since it uses less digits than its factorization.

111121011201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791252452.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111121011201101 its reverse (101102110121111), we get a palindrome (212223121322212).

The spelling of 111121011201101 in words is "one hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, one hundred one".