110100211112121 has 8 divisors (see below), whose sum is σ = 153182902416960. Its totient is φ = 70208830274352.

The previous prime is 110100211111999. The next prime is 110100211112131. The reversal of 110100211112121 is 121211112001011.

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

It is not a de Polignac number, because 110100211112121 - 2¹³ = 110100211103929 is a prime.

It is a super-3 number, since 3×110100211112121³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 110100211112121.

It is not an unprimeable number, because it can be changed into a prime (110100211112131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797827616686 + ... + 797827616823.

It is an arithmetic number, because the mean of its divisors is an integer number (19147862802120).

Almost surely, 2^{110100211112121} is an apocalyptic number.

It is an amenable number.

110100211112121 is a deficient number, since it is larger than the sum of its proper divisors (43082691304839).

110100211112121 is a wasteful number, since it uses less digits than its factorization.

110100211112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595655233535.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110100211112121 its reverse (121211112001011), we get a palindrome (231311323113132).

The spelling of 110100211112121 in words is "one hundred ten trillion, one hundred billion, two hundred eleven million, one hundred twelve thousand, one hundred twenty-one".