212140020100 has 72 divisors (see below), whose sum is σ = 463959007848. Its totient is φ = 84190310400.

The previous prime is 212140020091. The next prime is 212140020173. The reversal of 212140020100 is 1020041212.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 47453394244 + 164686625856 = 217838^2 + 405816^2 .

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, 36069160 + ... + 36075040.

It is an arithmetic number, because the mean of its divisors is an integer number (6443875109).

Almost surely, 2^212140020100 is an apocalyptic number.

212140020100 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 212140020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231979503924).

212140020100 is an abundant number, since it is smaller than the sum of its proper divisors (251818987748).

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

212140020100 is a wasteful number, since it uses less digits than its factorization.

212140020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8665 (or 8658 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212140020100 its reverse (1020041212), we get a palindrome (213160061312).

The spelling of 212140020100 in words is "two hundred twelve billion, one hundred forty million, twenty thousand, one hundred".