10111010211101 has 2 divisors, whose sum is σ = 10111010211102. Its totient is φ = 10111010211100.

The previous prime is 10111010211037. The next prime is 10111010211119. The reversal of 10111010211101 is 10111201011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5879242831225 + 4231767379876 = 2424715^2 + 2057126^2 .

It is an emirp because it is prime and its reverse (10111201011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111010211101 - 2⁶ = 10111010211037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111010211161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055505105550 + 5055505105551.

It is an arithmetic number, because the mean of its divisors is an integer number (5055505105551).

Almost surely, 2^{10111010211101} is an apocalyptic number.

It is an amenable number.

10111010211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111010211101 is an equidigital number, since it uses as much as digits as its factorization.

10111010211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10111010211101 its reverse (10111201011101), we get a palindrome (20222211222202).

The spelling of 10111010211101 in words is "ten trillion, one hundred eleven billion, ten million, two hundred eleven thousand, one hundred one".