101023111121 has 2 divisors, whose sum is σ = 101023111122. Its totient is φ = 101023111120.

The previous prime is 101023111109. The next prime is 101023111141. The reversal of 101023111121 is 121111320101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55243801600 + 45779309521 = 235040^2 + 213961^2 .

It is a cyclic number.

It is not a de Polignac number, because 101023111121 - 2³⁰ = 99949369297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101023111096 and 101023111105.

It is not a weakly prime, because it can be changed into another prime (101023111141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511555560 + 50511555561.

It is an arithmetic number, because the mean of its divisors is an integer number (50511555561).

Almost surely, 2^101023111121 is an apocalyptic number.

It is an amenable number.

101023111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101023111121 is an equidigital number, since it uses as much as digits as its factorization.

101023111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101023111121 its reverse (121111320101), we get a palindrome (222134431222).

The spelling of 101023111121 in words is "one hundred one billion, twenty-three million, one hundred eleven thousand, one hundred twenty-one".