102010002210001 has 2 divisors, whose sum is σ = 102010002210002. Its totient is φ = 102010002210000.

The previous prime is 102010002209989. The next prime is 102010002210007. The reversal of 102010002210001 is 100012200010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101854922982400 + 155079227601 = 10092320^2 + 393801^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010002210001 - 2⁴³ = 93213909187793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102010002210001.

It is not a weakly prime, because it can be changed into another prime (102010002210007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005001105000 + 51005001105001.

It is an arithmetic number, because the mean of its divisors is an integer number (51005001105001).

Almost surely, 2^{102010002210001} is an apocalyptic number.

It is an amenable number.

102010002210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010002210001 is an equidigital number, since it uses as much as digits as its factorization.

102010002210001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102010002210001 its reverse (100012200010201), we get a palindrome (202022202220202).

The spelling of 102010002210001 in words is "one hundred two trillion, ten billion, two million, two hundred ten thousand, one".