212011001211101 has 2 divisors, whose sum is σ = 212011001211102. Its totient is φ = 212011001211100.

The previous prime is 212011001211067. The next prime is 212011001211193. The reversal of 212011001211101 is 101112100110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118506955488100 + 93504045723001 = 10886090^2 + 9669749^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011001211101 - 2²⁶ = 212010934102237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212011001211301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005500605550 + 106005500605551.

It is an arithmetic number, because the mean of its divisors is an integer number (106005500605551).

Almost surely, 2^{212011001211101} is an apocalyptic number.

It is an amenable number.

212011001211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011001211101 is an equidigital number, since it uses as much as digits as its factorization.

212011001211101 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 14.

Adding to 212011001211101 its reverse (101112100110212), we get a palindrome (313123101321313).

The spelling of 212011001211101 in words is "two hundred twelve trillion, eleven billion, one million, two hundred eleven thousand, one hundred one".