212000110100101 has 16 divisors (see below), whose sum is σ = 217521841039360. Its totient is φ = 206505361424880.

The previous prime is 212000110100087. The next prime is 212000110100111. The reversal of 212000110100101 is 101001011000212.

It is a cyclic number.

It is not a de Polignac number, because 212000110100101 - 2¹¹ = 212000110098053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000110100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186702796 + ... + 187834858.

It is an arithmetic number, because the mean of its divisors is an integer number (13595115064960).

Almost surely, 2^{212000110100101} is an apocalyptic number.

It is an amenable number.

212000110100101 is a deficient number, since it is larger than the sum of its proper divisors (5521730939259).

212000110100101 is a wasteful number, since it uses less digits than its factorization.

212000110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143976.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 212000110100101 its reverse (101001011000212), we get a palindrome (313001121100313).

The spelling of 212000110100101 in words is "two hundred twelve trillion, one hundred ten million, one hundred thousand, one hundred one".