101101122211121 has 2 divisors, whose sum is σ = 101101122211122. Its totient is φ = 101101122211120.

The previous prime is 101101122211049. The next prime is 101101122211127. The reversal of 101101122211121 is 121112221101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100900719154225 + 200403056896 = 10044935^2 + 447664^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101122211121 - 2¹⁸ = 101101121948977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101101122211121.

It is not a weakly prime, because it can be changed into another prime (101101122211127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550561105560 + 50550561105561.

It is an arithmetic number, because the mean of its divisors is an integer number (50550561105561).

Almost surely, 2^{101101122211121} is an apocalyptic number.

It is an amenable number.

101101122211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101122211121 is an equidigital number, since it uses as much as digits as its factorization.

101101122211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101101122211121 its reverse (121112221101101), we get a palindrome (222213343312222).

The spelling of 101101122211121 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-one".