102102100211101 has 4 divisors (see below), whose sum is σ = 102252915721692. Its totient is φ = 101951284700512.

The previous prime is 102102100211093. The next prime is 102102100211119. The reversal of 102102100211101 is 101112001201201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 101822206308601 + 279893902500 = 10090699^2 + 529050^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100211101 - 2³ = 102102100211093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102100211171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75407754280 + ... + 75407755633.

It is an arithmetic number, because the mean of its divisors is an integer number (25563228930423).

Almost surely, 2^{102102100211101} is an apocalyptic number.

It is an amenable number.

102102100211101 is a deficient number, since it is larger than the sum of its proper divisors (150815510591).

102102100211101 is an equidigital number, since it uses as much as digits as its factorization.

102102100211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150815510590.

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

Adding to 102102100211101 its reverse (101112001201201), we get a palindrome (203214101412302).

It can be divided in two parts, 102102100 and 211101, that added together give a palindrome (102313201).

The spelling of 102102100211101 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred eleven thousand, one hundred one".