12100211010101 has 2 divisors, whose sum is σ = 12100211010102. Its totient is φ = 12100211010100.

The previous prime is 12100211010067. The next prime is 12100211010103. The reversal of 12100211010101 is 10101011200121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8009296204900 + 4090914805201 = 2830070^2 + 2022601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12100211010101 is a prime.

Together with 12100211010103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100211010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050105505050 + 6050105505051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050105505051).

Almost surely, 2^{12100211010101} is an apocalyptic number.

It is an amenable number.

12100211010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100211010101 is an equidigital number, since it uses as much as digits as its factorization.

12100211010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12100211010101 its reverse (10101011200121), we get a palindrome (22201222210222).

The spelling of 12100211010101 in words is "twelve trillion, one hundred billion, two hundred eleven million, ten thousand, one hundred one".