101112210200101 has 2 divisors, whose sum is σ = 101112210200102. Its totient is φ = 101112210200100.

The previous prime is 101112210200063. The next prime is 101112210200119. The reversal of 101112210200101 is 101002012211101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77758429069476 + 23353781130625 = 8818074^2 + 4832575^2 .

It is an emirp because it is prime and its reverse (101002012211101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101112210200101 - 2⁹ = 101112210199589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112210200171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556105100050 + 50556105100051.

It is an arithmetic number, because the mean of its divisors is an integer number (50556105100051).

Almost surely, 2^{101112210200101} is an apocalyptic number.

It is an amenable number.

101112210200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112210200101 is an equidigital number, since it uses as much as digits as its factorization.

101112210200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112210200101 its reverse (101002012211101), we get a palindrome (202114222411202).

The spelling of 101112210200101 in words is "one hundred one trillion, one hundred twelve billion, two hundred ten million, two hundred thousand, one hundred one".