212010213100 has 144 divisors (see below), whose sum is σ = 541237733568. Its totient is φ = 70581288960.

The previous prime is 212010213097. The next prime is 212010213131. The reversal of 212010213100 is 1312010212.

212010213100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212010213100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569244 + ... + 3628156.

It is an arithmetic number, because the mean of its divisors is an integer number (3758595372).

Almost surely, 2^212010213100 is an apocalyptic number.

212010213100 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 212010213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270618866784).

212010213100 is an abundant number, since it is smaller than the sum of its proper divisors (329227520468).

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

212010213100 is a wasteful number, since it uses less digits than its factorization.

212010213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59084 (or 59077 counting only the distinct ones).

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

Adding to 212010213100 its reverse (1312010212), we get a palindrome (213322223312).

The spelling of 212010213100 in words is "two hundred twelve billion, ten million, two hundred thirteen thousand, one hundred".