214130242100 has 36 divisors (see below), whose sum is σ = 465153499104. Its totient is φ = 85561613280.

The previous prime is 214130242087. The next prime is 214130242103. The reversal of 214130242100 is 1242031412.

214130242100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214130242100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214130242103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1035872 + ... + 1225271.

Almost surely, 2^214130242100 is an apocalyptic number.

214130242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214130242100 is an abundant number, since it is smaller than the sum of its proper divisors (251023257004).

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

214130242100 is a wasteful number, since it uses less digits than its factorization.

214130242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262104 (or 2262097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214130242100 its reverse (1242031412), we get a palindrome (215372273512).

The spelling of 214130242100 in words is "two hundred fourteen billion, one hundred thirty million, two hundred forty-two thousand, one hundred".