212101201101100 has 18 divisors (see below), whose sum is σ = 460259606389604. Its totient is φ = 84840480440400.

The previous prime is 212101201101067. The next prime is 212101201101133. The reversal of 212101201101100 is 1101102101212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212101201101067) and next prime (212101201101133).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1060506005406 + ... + 1060506005605.

Almost surely, 2^{212101201101100} is an apocalyptic number.

212101201101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101201101100 is an abundant number, since it is smaller than the sum of its proper divisors (248158405288504).

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

212101201101100 is a wasteful number, since it uses less digits than its factorization.

212101201101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121012011025 (or 2121012011018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212101201101100 its reverse (1101102101212), we get a palindrome (213202303202312).

The spelling of 212101201101100 in words is "two hundred twelve trillion, one hundred one billion, two hundred one million, one hundred one thousand, one hundred".