111101112101 has 8 divisors (see below), whose sum is σ = 127007871744. Its totient is φ = 95203145520.

The previous prime is 111101112077. The next prime is 111101112113. The reversal of 111101112101 is 101211101111.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 111101112101 - 2¹⁸ = 111100849957 is a prime.

It is a super-2 number, since 2×111101112101² (a number of 23 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 (111101112131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2171165 + ... + 2221746.

It is an arithmetic number, because the mean of its divisors is an integer number (15875983968).

Almost surely, 2^111101112101 is an apocalyptic number.

It is an amenable number.

111101112101 is a deficient number, since it is larger than the sum of its proper divisors (15906759643).

111101112101 is an equidigital number, since it uses as much as digits as its factorization.

111101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396531.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111101112101 its reverse (101211101111), we get a palindrome (212312213212).

It can be divided in two parts, 11110 and 1112101, that added together give a palindrome (1123211).

The spelling of 111101112101 in words is "one hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred one".