212111100020101 has 2 divisors, whose sum is σ = 212111100020102. Its totient is φ = 212111100020100.

The previous prime is 212111100020093. The next prime is 212111100020123. The reversal of 212111100020101 is 101020001111212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211840310920225 + 270789099876 = 14554735^2 + 520374^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111100020101 - 2³ = 212111100020093 is a prime.

It is a super-2 number, since 2×212111100020101² (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 (212111100090101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106055550010050 + 106055550010051.

It is an arithmetic number, because the mean of its divisors is an integer number (106055550010051).

Almost surely, 2^{212111100020101} is an apocalyptic number.

It is an amenable number.

212111100020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111100020101 is an equidigital number, since it uses as much as digits as its factorization.

212111100020101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212111100020101 its reverse (101020001111212), we get a palindrome (313131101131313).

The spelling of 212111100020101 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred million, twenty thousand, one hundred one".