102100201022101 has 4 divisors (see below), whose sum is σ = 105620897609100. Its totient is φ = 98579504435104.

The previous prime is 102100201022023. The next prime is 102100201022119. The reversal of 102100201022101 is 101220102001201.

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 73127279999601 + 28972921022500 = 8551449^2 + 5382650^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100201022101 - 2²¹ = 102100198924949 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 (102100201022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1760348293456 + ... + 1760348293513.

It is an arithmetic number, because the mean of its divisors is an integer number (26405224402275).

Almost surely, 2^{102100201022101} is an apocalyptic number.

It is an amenable number.

102100201022101 is a deficient number, since it is larger than the sum of its proper divisors (3520696586999).

102100201022101 is an equidigital number, since it uses as much as digits as its factorization.

102100201022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520696586998.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102100201022101 its reverse (101220102001201), we get a palindrome (203320303023302).

The spelling of 102100201022101 in words is "one hundred two trillion, one hundred billion, two hundred one million, twenty-two thousand, one hundred one".