101111121101 has 2 divisors, whose sum is σ = 101111121102. Its totient is φ = 101111121100.

The previous prime is 101111121079. The next prime is 101111121121. The reversal of 101111121101 is 101121111101.

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., 96329536900 + 4781584201 = 310370^2 + 69149^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111121101 - 2¹⁸ = 101110858957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111121121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555560550 + 50555560551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555560551).

Almost surely, 2^101111121101 is an apocalyptic number.

It is an amenable number.

101111121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111121101 is an equidigital number, since it uses as much as digits as its factorization.

101111121101 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 101111121101 its reverse (101121111101), we get a palindrome (202232232202).

The spelling of 101111121101 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".