212120102011101 has 64 divisors (see below), whose sum is σ = 297784088985600. Its totient is φ = 134190222566400.

The previous prime is 212120102011087. The next prime is 212120102011121. The reversal of 212120102011101 is 101110201021212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-212120102011101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120102011121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233911780 + ... + 234816866.

It is an arithmetic number, because the mean of its divisors is an integer number (4652876390400).

Almost surely, 2^{212120102011101} is an apocalyptic number.

It is an amenable number.

212120102011101 is a deficient number, since it is larger than the sum of its proper divisors (85663986974499).

212120102011101 is a wasteful number, since it uses less digits than its factorization.

212120102011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905570.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212120102011101 its reverse (101110201021212), we get a palindrome (313230303032313).

The spelling of 212120102011101 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred two million, eleven thousand, one hundred one".