101111233121 has 2 divisors, whose sum is σ = 101111233122. Its totient is φ = 101111233120.

The previous prime is 101111233109. The next prime is 101111233177. The reversal of 101111233121 is 121332111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100448428096 + 662805025 = 316936^2 + 25745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111233121 - 2¹⁴ = 101111216737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111233121.

It is not a weakly prime, because it can be changed into another prime (101111233021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555616560 + 50555616561.

It is an arithmetic number, because the mean of its divisors is an integer number (50555616561).

Almost surely, 2^101111233121 is an apocalyptic number.

It is an amenable number.

101111233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111233121 is an equidigital number, since it uses as much as digits as its factorization.

101111233121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101111233121 its reverse (121332111101), we get a palindrome (222443344222).

The spelling of 101111233121 in words is "one hundred one billion, one hundred eleven million, two hundred thirty-three thousand, one hundred twenty-one".