111322102010101 has 2 divisors, whose sum is σ = 111322102010102. Its totient is φ = 111322102010100.

The previous prime is 111322102010087. The next prime is 111322102010111. The reversal of 111322102010101 is 101010201223111.

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., 80198311533201 + 31123790476900 = 8955351^2 + 5578870^2 .

It is a cyclic number.

It is not a de Polignac number, because 111322102010101 - 2¹⁷ = 111322101879029 is a prime.

It is a super-2 number, since 2×111322102010101² (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 (111322102010111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55661051005050 + 55661051005051.

It is an arithmetic number, because the mean of its divisors is an integer number (55661051005051).

Almost surely, 2^{111322102010101} is an apocalyptic number.

It is an amenable number.

111322102010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111322102010101 is an equidigital number, since it uses as much as digits as its factorization.

111322102010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 111322102010101 its reverse (101010201223111), we get a palindrome (212332303233212).

The spelling of 111322102010101 in words is "one hundred eleven trillion, three hundred twenty-two billion, one hundred two million, ten thousand, one hundred one".