102111330020101 has 2 divisors, whose sum is σ = 102111330020102. Its totient is φ = 102111330020100.

The previous prime is 102111330020081. The next prime is 102111330020107. The reversal of 102111330020101 is 101020033111201.

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., 71671293492100 + 30440036528001 = 8465890^2 + 5517249^2 .

It is an emirp because it is prime and its reverse (101020033111201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102111330020101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102111330020107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055665010050 + 51055665010051.

It is an arithmetic number, because the mean of its divisors is an integer number (51055665010051).

Almost surely, 2^{102111330020101} is an apocalyptic number.

It is an amenable number.

102111330020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102111330020101 is an equidigital number, since it uses as much as digits as its factorization.

102111330020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102111330020101 its reverse (101020033111201), we get a palindrome (203131363131302).

The spelling of 102111330020101 in words is "one hundred two trillion, one hundred eleven billion, three hundred thirty million, twenty thousand, one hundred one".