213021400100 has 72 divisors (see below), whose sum is σ = 478699939368. Its totient is φ = 82230220800.

The previous prime is 213021400061. The next prime is 213021400133. The reversal of 213021400100 is 1004120312.

It can be written as a sum of positive squares in 12 ways, for example, as 53826784036 + 159194616064 = 232006^2 + 398992^2 .

It is a super-3 number, since 3×213021400100³ (a number of 35 digits) contains 333 as substring.

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, 6149 + ... + 652748.

It is an arithmetic number, because the mean of its divisors is an integer number (6648610269).

Almost surely, 2^213021400100 is an apocalyptic number.

213021400100 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 213021400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239349969684).

213021400100 is an abundant number, since it is smaller than the sum of its proper divisors (265678539268).

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

213021400100 is a wasteful number, since it uses less digits than its factorization.

213021400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659025 (or 659018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 213021400100 its reverse (1004120312), we get a palindrome (214025520412).

The spelling of 213021400100 in words is "two hundred thirteen billion, twenty-one million, four hundred thousand, one hundred".