212003112100 has 72 divisors (see below), whose sum is σ = 524578252968. Its totient is φ = 73673472000.

The previous prime is 212003112073. The next prime is 212003112103. The reversal of 212003112100 is 1211300212.

It can be written as a sum of positive squares in 12 ways, for example, as 43916231844 + 168086880256 = 209562^2 + 409984^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (212003112103) 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, 4774351 + ... + 4818550.

It is an arithmetic number, because the mean of its divisors is an integer number (7285809069).

Almost surely, 2^212003112100 is an apocalyptic number.

212003112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212003112100 is an abundant number, since it is smaller than the sum of its proper divisors (312575140868).

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

212003112100 is a wasteful number, since it uses less digits than its factorization.

212003112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9592945 (or 9592938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212003112100 its reverse (1211300212), we get a palindrome (213214412312).

The spelling of 212003112100 in words is "two hundred twelve billion, three million, one hundred twelve thousand, one hundred".