214134112100 has 72 divisors (see below), whose sum is σ = 480897345600. Its totient is φ = 82665116800.

The previous prime is 214134112091. The next prime is 214134112103. The reversal of 214134112100 is 1211431412.

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

It is not an unprimeable number, because it can be changed into a prime (214134112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7464785 + ... + 7493415.

It is an arithmetic number, because the mean of its divisors is an integer number (6679129800).

Almost surely, 2^214134112100 is an apocalyptic number.

214134112100 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 214134112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240448672800).

214134112100 is an abundant number, since it is smaller than the sum of its proper divisors (266763233500).

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

214134112100 is a wasteful number, since it uses less digits than its factorization.

214134112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31253 (or 31246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 214134112100 its reverse (1211431412), we get a palindrome (215345543512).

The spelling of 214134112100 in words is "two hundred fourteen billion, one hundred thirty-four million, one hundred twelve thousand, one hundred".