110121210122112 has 256 divisors, whose sum is σ = 372708329011200. Its totient is φ = 31355817928704.

The previous prime is 110121210122107. The next prime is 110121210122117. The reversal of 110121210122112 is 211221012121011.

It is a happy number.

110121210122112 is a `hidden beast` number, since 110 + 121 + 210 + 1 + 221 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (110121210122107) and next prime (110121210122117).

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 (110121210122117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679608 + ... + 14856119.

It is an arithmetic number, because the mean of its divisors is an integer number (1455891910200).

Almost surely, 2^{110121210122112} is an apocalyptic number.

110121210122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121210122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186354164505600).

110121210122112 is an abundant number, since it is smaller than the sum of its proper divisors (262587118889088).

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

110121210122112 is a wasteful number, since it uses less digits than its factorization.

110121210122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536050 (or 15536032 counting only the distinct ones).

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

Adding to 110121210122112 its reverse (211221012121011), we get a palindrome (321342222243123).

The spelling of 110121210122112 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, one hundred twelve".