110111121012101 has 4 divisors (see below), whose sum is σ = 120121222922304. Its totient is φ = 100101019101900.

The previous prime is 110111121012083. The next prime is 110111121012103. The reversal of 110111121012101 is 101210121111011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110111121012101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111121012103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005050955085 + ... + 5005050955106.

It is an arithmetic number, because the mean of its divisors is an integer number (30030305730576).

Almost surely, 2^{110111121012101} is an apocalyptic number.

110111121012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110111121012101 is a deficient number, since it is larger than the sum of its proper divisors (10010101910203).

110111121012101 is a wasteful number, since it uses less digits than its factorization.

110111121012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010101910202.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110111121012101 its reverse (101210121111011), we get a palindrome (211321242123112).

The spelling of 110111121012101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty-one million, twelve thousand, one hundred one".