110111212122101 has 8 divisors (see below), whose sum is σ = 110322291883800. Its totient is φ = 109900202416128.

The previous prime is 110111212122089. The next prime is 110111212122103. The reversal of 110111212122101 is 101221212111011.

It can be written as a sum of positive squares in 4 ways, for example, as 13963479927076 + 96147732195025 = 3736774^2 + 9805495^2 .

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 110111212122101 - 2¹⁰ = 110111212121077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110111212122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111212122103) 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, 14366846 + ... + 20654991.

It is an arithmetic number, because the mean of its divisors is an integer number (13790286485475).

Almost surely, 2^{110111212122101} is an apocalyptic number.

It is an amenable number.

110111212122101 is a deficient number, since it is larger than the sum of its proper divisors (211079761699).

110111212122101 is an equidigital number, since it uses as much as digits as its factorization.

110111212122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35027863.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 110111212122101 its reverse (101221212111011), we get a palindrome (211332424233112).

It can be divided in two parts, 110111 and 212122101, that added together give a palindrome (212232212).

The spelling of 110111212122101 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-two thousand, one hundred one".