214052100420 has 96 divisors (see below), whose sum is σ = 606480255360. Its totient is φ = 56401945600.

The previous prime is 214052100401. The next prime is 214052100443. The reversal of 214052100420 is 24001250412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8600995 + ... + 8625845.

It is an arithmetic number, because the mean of its divisors is an integer number (6317502660).

Almost surely, 2^214052100420 is an apocalyptic number.

214052100420 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 214052100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303240127680).

214052100420 is an abundant number, since it is smaller than the sum of its proper divisors (392428154940).

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

214052100420 is a wasteful number, since it uses less digits than its factorization.

214052100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26565 (or 26563 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 214052100420 its reverse (24001250412), we get a palindrome (238053350832).

The spelling of 214052100420 in words is "two hundred fourteen billion, fifty-two million, one hundred thousand, four hundred twenty".