213242012100 has 288 divisors, whose sum is σ = 742001120000. Its totient is φ = 52224860160.

The previous prime is 213242012083. The next prime is 213242012101. The reversal of 213242012100 is 1210242312.

It is a happy number.

213242012100 is a `hidden beast` number, since 2 + 1 + 32 + 420 + 1 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213242012101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6969636 + ... + 7000164.

Almost surely, 2^213242012100 is an apocalyptic number.

213242012100 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 213242012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371000560000).

213242012100 is an abundant number, since it is smaller than the sum of its proper divisors (528759107900).

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

213242012100 is a wasteful number, since it uses less digits than its factorization.

213242012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30764 (or 30751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 213242012100 its reverse (1210242312), we get a palindrome (214452254412).

The spelling of 213242012100 in words is "two hundred thirteen billion, two hundred forty-two million, twelve thousand, one hundred".