101122211041 has 2 divisors, whose sum is σ = 101122211042. Its totient is φ = 101122211040.

The previous prime is 101122210979. The next prime is 101122211059. The reversal of 101122211041 is 140112221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100793550400 + 328660641 = 317480^2 + 18129^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122211041 - 2¹⁹ = 101121686753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122011041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561105520 + 50561105521.

It is an arithmetic number, because the mean of its divisors is an integer number (50561105521).

Almost surely, 2^101122211041 is an apocalyptic number.

It is an amenable number.

101122211041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122211041 is an equidigital number, since it uses as much as digits as its factorization.

101122211041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122211041 its reverse (140112221101), we get a palindrome (241234432142).

The spelling of 101122211041 in words is "one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, forty-one".