101102100100121 has 2 divisors, whose sum is σ = 101102100100122. Its totient is φ = 101102100100120.

The previous prime is 101102100100117. The next prime is 101102100100187. The reversal of 101102100100121 is 121001001201101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101090235444496 + 11864655625 = 10054364^2 + 108925^2 .

It is a cyclic number.

It is not a de Polignac number, because 101102100100121 - 2² = 101102100100117 is a prime.

It is not a weakly prime, because it can be changed into another prime (101102100300121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551050050060 + 50551050050061.

It is an arithmetic number, because the mean of its divisors is an integer number (50551050050061).

Almost surely, 2^{101102100100121} is an apocalyptic number.

It is an amenable number.

101102100100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102100100121 is an equidigital number, since it uses as much as digits as its factorization.

101102100100121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102100100121 its reverse (121001001201101), we get a palindrome (222103101301222).

The spelling of 101102100100121 in words is "one hundred one trillion, one hundred two billion, one hundred million, one hundred thousand, one hundred twenty-one".