102210001100101 has 2 divisors, whose sum is σ = 102210001100102. Its totient is φ = 102210001100100.

The previous prime is 102210001100069. The next prime is 102210001100131. The reversal of 102210001100101 is 101001100012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102209552295876 + 448804225 = 10109874^2 + 21185^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210001100101 - 2⁵ = 102210001100069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210001100131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105000550050 + 51105000550051.

It is an arithmetic number, because the mean of its divisors is an integer number (51105000550051).

Almost surely, 2^{102210001100101} is an apocalyptic number.

It is an amenable number.

102210001100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210001100101 is an equidigital number, since it uses as much as digits as its factorization.

102210001100101 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 10.

Adding to 102210001100101 its reverse (101001100012201), we get a palindrome (203211101112302).

The spelling of 102210001100101 in words is "one hundred two trillion, two hundred ten billion, one million, one hundred thousand, one hundred one".