110121112122102 has 48 divisors (see below), whose sum is σ = 247435097075712. Its totient is φ = 36706670237160.

The previous prime is 110121112122101. The next prime is 110121112122103. The reversal of 110121112122102 is 201221211121011.

It is a happy number.

110121112122102 is a `hidden beast` number, since 110 + 1 + 211 + 121 + 221 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (110121112122101) and next prime (110121112122103).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121112122101) 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 23 ways as a sum of consecutive naturals, for example, 49867143 + ... + 52028589.

It is an arithmetic number, because the mean of its divisors is an integer number (5154897855744).

Almost surely, 2^{110121112122102} is an apocalyptic number.

110121112122102 is an abundant number, since it is smaller than the sum of its proper divisors (137313984953610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110121112122102 is a wasteful number, since it uses less digits than its factorization.

110121112122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266295 (or 2266283 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110121112122102 its reverse (201221211121011), we get a palindrome (311342323243113).

The spelling of 110121112122102 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred two".