114551121002100 has 576 divisors, whose sum is σ = 353331785318400. Its totient is φ = 28617126819840.

The previous prime is 114551121002081. The next prime is 114551121002177. The reversal of 114551121002100 is 1200121155411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7761434521 + ... + 7761449279.

It is an arithmetic number, because the mean of its divisors is an integer number (613423238400).

Almost surely, 2^{114551121002100} is an apocalyptic number.

114551121002100 is a gapful number since it is divisible by the number (10) 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 114551121002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176665892659200).

114551121002100 is an abundant number, since it is smaller than the sum of its proper divisors (238780664316300).

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

114551121002100 is a wasteful number, since it uses less digits than its factorization.

114551121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112 (or 15105 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 114551121002100 its reverse (1200121155411), we get a palindrome (115751242157511).

The spelling of 114551121002100 in words is "one hundred fourteen trillion, five hundred fifty-one billion, one hundred twenty-one million, two thousand, one hundred".