102102100111201 has 2 divisors, whose sum is σ = 102102100111202. Its totient is φ = 102102100111200.

The previous prime is 102102100111163. The next prime is 102102100111217. The reversal of 102102100111201 is 102111001201201.

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., 89126363336976 + 12975736774225 = 9440676^2 + 3602185^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100111201 - 2⁷ = 102102100111073 is a prime.

It is a super-2 number, since 2×102102100111201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102102100211201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051050055600 + 51051050055601.

It is an arithmetic number, because the mean of its divisors is an integer number (51051050055601).

Almost surely, 2^{102102100111201} is an apocalyptic number.

It is an amenable number.

102102100111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102100111201 is an equidigital number, since it uses as much as digits as its factorization.

102102100111201 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 13.

Adding to 102102100111201 its reverse (102111001201201), we get a palindrome (204213101312402).

The spelling of 102102100111201 in words is "one hundred two trillion, one hundred two billion, one hundred million, one hundred eleven thousand, two hundred one".