111001001101120 has 56 divisors (see below), whose sum is σ = 284653528795944. Its totient is φ = 40984985020416.

The previous prime is 111001001101099. The next prime is 111001001101141. The reversal of 111001001101120 is 21101100100111.

It is an interprime number because it is at equal distance from previous prime (111001001101099) and next prime (111001001101141).

It can be written as a sum of positive squares in 4 ways, for example, as 18315832896 + 110982685268224 = 135336^2 + 10534832^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111001001101097 and 111001001101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13341462319 + ... + 13341470638.

It is an arithmetic number, because the mean of its divisors is an integer number (5083098728499).

Almost surely, 2^{111001001101120} is an apocalyptic number.

111001001101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001001101120 is an abundant number, since it is smaller than the sum of its proper divisors (173652527694824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111001001101120 is a wasteful number, since it uses less digits than its factorization.

111001001101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682932987 (or 26682932977 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111001001101120 its reverse (21101100100111), we get a palindrome (132102101201231).

The spelling of 111001001101120 in words is "one hundred eleven trillion, one billion, one million, one hundred one thousand, one hundred twenty".