214120666100 has 72 divisors (see below), whose sum is σ = 536698649088. Its totient is φ = 73281932800.

The previous prime is 214120666043. The next prime is 214120666159. The reversal of 214120666100 is 1666021412.

It is a super-2 number, since 2×214120666100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5706452 + ... + 5743851.

It is an arithmetic number, because the mean of its divisors is an integer number (7454147904).

Almost surely, 2^214120666100 is an apocalyptic number.

214120666100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214120666100 is an abundant number, since it is smaller than the sum of its proper divisors (322577982988).

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

214120666100 is a wasteful number, since it uses less digits than its factorization.

214120666100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11450345 (or 11450338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 214120666100 its reverse (1666021412), we get a palindrome (215786687512).

The spelling of 214120666100 in words is "two hundred fourteen billion, one hundred twenty million, six hundred sixty-six thousand, one hundred".