111211100112121 has 16 divisors (see below), whose sum is σ = 112799191741200. Its totient is φ = 109634581647360.

The previous prime is 111211100112107. The next prime is 111211100112149. The reversal of 111211100112121 is 121211001112111.

It can be written as a sum of positive squares in 8 ways, for example, as 13031637924096 + 98179462188025 = 3609936^2 + 9908555^2 .

It is a cyclic number.

It is not a de Polignac number, because 111211100112121 - 2¹⁵ = 111211100079353 is a prime.

It is a super-2 number, since 2×111211100112121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111211100112095 and 111211100112104.

It is not an unprimeable number, because it can be changed into a prime (111211100122121) 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, 93738985 + ... + 94917961.

It is an arithmetic number, because the mean of its divisors is an integer number (7049949483825).

Almost surely, 2^{111211100112121} is an apocalyptic number.

It is an amenable number.

111211100112121 is a deficient number, since it is larger than the sum of its proper divisors (1588091629079).

111211100112121 is a wasteful number, since it uses less digits than its factorization.

111211100112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183884.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111211100112121 its reverse (121211001112111), we get a palindrome (232422101224232).

The spelling of 111211100112121 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".