102102211220201 has 2 divisors, whose sum is σ = 102102211220202. Its totient is φ = 102102211220200.

The previous prime is 102102211220197. The next prime is 102102211220287. The reversal of 102102211220201 is 102022112201201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68495089182976 + 33607122037225 = 8276176^2 + 5797165^2 .

It is an emirp because it is prime and its reverse (102022112201201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102102211220201 - 2² = 102102211220197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102102211220201.

It is not a weakly prime, because it can be changed into another prime (102102211226201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51051105610100 + 51051105610101.

It is an arithmetic number, because the mean of its divisors is an integer number (51051105610101).

Almost surely, 2^{102102211220201} is an apocalyptic number.

It is an amenable number.

102102211220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102102211220201 is an equidigital number, since it uses as much as digits as its factorization.

102102211220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102102211220201 its reverse (102022112201201), we get a palindrome (204124323421402).

The spelling of 102102211220201 in words is "one hundred two trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, two hundred one".