212112012102101 has 2 divisors, whose sum is σ = 212112012102102. Its totient is φ = 212112012102100.

The previous prime is 212112012102077. The next prime is 212112012102131. The reversal of 212112012102101 is 101201210211212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190571785191076 + 21540226911025 = 13804774^2 + 4641145^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112012102101 - 2³⁸ = 211837134195157 is a prime.

It is a super-2 number, since 2×212112012102101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212112012102101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112012102131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056006051050 + 106056006051051.

It is an arithmetic number, because the mean of its divisors is an integer number (106056006051051).

Almost surely, 2^{212112012102101} is an apocalyptic number.

It is an amenable number.

212112012102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112012102101 is an equidigital number, since it uses as much as digits as its factorization.

212112012102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212112012102101 its reverse (101201210211212), we get a palindrome (313313222313313).

The spelling of 212112012102101 in words is "two hundred twelve trillion, one hundred twelve billion, twelve million, one hundred two thousand, one hundred one".