212012012101 has 2 divisors, whose sum is σ = 212012012102. Its totient is φ = 212012012100.

The previous prime is 212012012099. The next prime is 212012012111. The reversal of 212012012101 is 101210210212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195660252225 + 16351759876 = 442335^2 + 127874^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012012101 - 2¹ = 212012012099 is a prime.

It is a super-2 number, since 2×212012012101² (a number of 23 digits) contains 22 as substring.

Together with 212012012099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012012111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006006050 + 106006006051.

It is an arithmetic number, because the mean of its divisors is an integer number (106006006051).

Almost surely, 2^212012012101 is an apocalyptic number.

It is an amenable number.

212012012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012012101 is an equidigital number, since it uses as much as digits as its factorization.

212012012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212012012101 its reverse (101210210212), we get a palindrome (313222222313).

It can be divided in two parts, 21201 and 2012101, that added together give a palindrome (2033302).

The spelling of 212012012101 in words is "two hundred twelve billion, twelve million, twelve thousand, one hundred one".