102101220100001 has 2 divisors, whose sum is σ = 102101220100002. Its totient is φ = 102101220100000.

The previous prime is 102101220099997. The next prime is 102101220100003. The reversal of 102101220100001 is 100001022101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102062041835776 + 39178264225 = 10102576^2 + 197935^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101220100001 - 2² = 102101220099997 is a prime.

Together with 102101220100003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102101220100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050610050000 + 51050610050001.

It is an arithmetic number, because the mean of its divisors is an integer number (51050610050001).

Almost surely, 2^{102101220100001} is an apocalyptic number.

It is an amenable number.

102101220100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101220100001 is an equidigital number, since it uses as much as digits as its factorization.

102101220100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101220100001 its reverse (100001022101201), we get a palindrome (202102242201202).

The spelling of 102101220100001 in words is "one hundred two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, one".