214113353312100 has 144 divisors (see below), whose sum is σ = 675843391754496. Its totient is φ = 51904440336000.

The previous prime is 214113353312093. The next prime is 214113353312207. The reversal of 214113353312100 is 1213353311412.

214113353312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93816727 + ... + 96071873.

It is an arithmetic number, because the mean of its divisors is an integer number (4693356887184).

Almost surely, 2^{214113353312100} is an apocalyptic number.

214113353312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214113353312100 is an abundant number, since it is smaller than the sum of its proper divisors (461730038442396).

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

214113353312100 is a wasteful number, since it uses less digits than its factorization.

214113353312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283946 (or 2283939 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 214113353312100 in words is "two hundred fourteen trillion, one hundred thirteen billion, three hundred fifty-three million, three hundred twelve thousand, one hundred".