111001011021121 has 8 divisors (see below), whose sum is σ = 119540051621480. Its totient is φ = 102462042033792.

The previous prime is 111001011021079. The next prime is 111001011021127. The reversal of 111001011021121 is 121120110100111.

It can be written as a sum of positive squares in 4 ways, for example, as 20586319956225 + 90414691064896 = 4537215^2 + 9508664^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 111001011021121 - 2⁹ = 111001011020609 is a prime.

It is a super-2 number, since 2×111001011021121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111001011021127) 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, 14662266 + ... + 20904163.

It is an arithmetic number, because the mean of its divisors is an integer number (14942506452685).

Almost surely, 2^{111001011021121} is an apocalyptic number.

It is an amenable number.

111001011021121 is a deficient number, since it is larger than the sum of its proper divisors (8539040600359).

111001011021121 is a wasteful number, since it uses less digits than its factorization.

111001011021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35806515.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111001011021121 its reverse (121120110100111), we get a palindrome (232121121121232).

The spelling of 111001011021121 in words is "one hundred eleven trillion, one billion, eleven million, twenty-one thousand, one hundred twenty-one".