102102100211201 has 2 divisors, whose sum is σ = 102102100211202. Its totient is φ = 102102100211200.

The previous prime is 102102100211173. The next prime is 102102100211213. The reversal of 102102100211201 is 102112001201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90754964371600 + 11347135839601 = 9526540^2 + 3368551^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100211201 - 2²² = 102102096016897 is a prime.

It is not a weakly prime, because it can be changed into another prime (102102100211261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051050105600 + 51051050105601.

It is an arithmetic number, because the mean of its divisors is an integer number (51051050105601).

Almost surely, 2^{102102100211201} is an apocalyptic number.

It is an amenable number.

102102100211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102100211201 is an equidigital number, since it uses as much as digits as its factorization.

102102100211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102102100211201 its reverse (102112001201201), we get a palindrome (204214101412402).

The spelling of 102102100211201 in words is "one hundred two trillion, one hundred two billion, one hundred million, two hundred eleven thousand, two hundred one".