2114252450100 has 720 divisors, whose sum is σ = 8135216812800. Its totient is φ = 464724449280.

The previous prime is 2114252450081. The next prime is 2114252450143. The reversal of 2114252450100 is 10542524112.

It is a happy number.

2114252450100 is a `hidden beast` number, since 2 + 114 + 25 + 24 + 501 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 432448456 + ... + 432453344.

It is an arithmetic number, because the mean of its divisors is an integer number (11298912240).

Almost surely, 2^{2114252450100} is an apocalyptic number.

2114252450100 is a gapful number since it is divisible by the number (20) 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 2114252450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067608406400).

2114252450100 is an abundant number, since it is smaller than the sum of its proper divisors (6020964362700).

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

2114252450100 is a wasteful number, since it uses less digits than its factorization.

2114252450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 2114252450100 its reverse (10542524112), we get a palindrome (2124794974212).

The spelling of 2114252450100 in words is "two trillion, one hundred fourteen billion, two hundred fifty-two million, four hundred fifty thousand, one hundred".