212120001122101 has 2 divisors, whose sum is σ = 212120001122102. Its totient is φ = 212120001122100.

The previous prime is 212120001122089. The next prime is 212120001122153. The reversal of 212120001122101 is 101221100021212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175218142526001 + 36901858596100 = 13236999^2 + 6074690^2 .

It is a cyclic number.

It is not a de Polignac number, because 212120001122101 - 2⁵ = 212120001122069 is a prime.

It is a super-2 number, since 2×212120001122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212120001122171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060000561050 + 106060000561051.

It is an arithmetic number, because the mean of its divisors is an integer number (106060000561051).

Almost surely, 2^{212120001122101} is an apocalyptic number.

It is an amenable number.

212120001122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212120001122101 is an equidigital number, since it uses as much as digits as its factorization.

212120001122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212120001122101 its reverse (101221100021212), we get a palindrome (313341101143313).

The spelling of 212120001122101 in words is "two hundred twelve trillion, one hundred twenty billion, one million, one hundred twenty-two thousand, one hundred one".