110002121110100 has 18 divisors (see below), whose sum is σ = 238704602809134. Its totient is φ = 44000848444000.

The previous prime is 110002121110043. The next prime is 110002121110121. The reversal of 110002121110100 is 1011121200011.

It can be written as a sum of positive squares in 3 ways, for example, as 26223760195396 + 83778360914704 = 5120914^2 + 9153052^2 .

It is a super-2 number, since 2×110002121110100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 550010605451 + ... + 550010605650.

Almost surely, 2^{110002121110100} is an apocalyptic number.

110002121110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002121110100 is an abundant number, since it is smaller than the sum of its proper divisors (128702481699034).

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

110002121110100 is a wasteful number, since it uses less digits than its factorization.

110002121110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100021211115 (or 1100021211108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 110002121110100 its reverse (1011121200011), we get a palindrome (111013242310111).

The spelling of 110002121110100 in words is "one hundred ten trillion, two billion, one hundred twenty-one million, one hundred ten thousand, one hundred".