101122202100001 has 2 divisors, whose sum is σ = 101122202100002. Its totient is φ = 101122202100000.

The previous prime is 101122202099977. The next prime is 101122202100037. The reversal of 101122202100001 is 100001202221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90285438478225 + 10836763621776 = 9501865^2 + 3291924^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122202100001 - 2¹¹ = 101122202097953 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122202100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561101050000 + 50561101050001.

It is an arithmetic number, because the mean of its divisors is an integer number (50561101050001).

Almost surely, 2^{101122202100001} is an apocalyptic number.

It is an amenable number.

101122202100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122202100001 is an equidigital number, since it uses as much as digits as its factorization.

101122202100001 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 13.

Adding to 101122202100001 its reverse (100001202221101), we get a palindrome (201123404321102).

The spelling of 101122202100001 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, one".