212011221100100 has 36 divisors (see below), whose sum is σ = 460144543528404. Its totient is φ = 84789706183680.

The previous prime is 212011221100067. The next prime is 212011221100103. The reversal of 212011221100100 is 1001122110212.

It can be written as a sum of positive squares in 6 ways, for example, as 113659095854404 + 98352125245696 = 10661102^2 + 9917264^2 .

It is not an unprimeable number, because it can be changed into a prime (212011221100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184201637 + ... + 185349036.

It is an arithmetic number, because the mean of its divisors is an integer number (12781792875789).

Almost surely, 2^{212011221100100} is an apocalyptic number.

212011221100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011221100100 is an abundant number, since it is smaller than the sum of its proper divisors (248133322428304).

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

212011221100100 is a wasteful number, since it uses less digits than its factorization.

212011221100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369556424 (or 369556417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011221100100 its reverse (1001122110212), we get a palindrome (213012343210312).

The spelling of 212011221100100 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-one million, one hundred thousand, one hundred".