102110101222001 has 2 divisors, whose sum is σ = 102110101222002. Its totient is φ = 102110101222000.

The previous prime is 102110101221979. The next prime is 102110101222079. The reversal of 102110101222001 is 100222101011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89481175383601 + 12628925838400 = 9459449^2 + 3553720^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110101222001 - 2⁶ = 102110101221937 is a prime.

It is a super-2 number, since 2×102110101222001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102110101222081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055050611000 + 51055050611001.

It is an arithmetic number, because the mean of its divisors is an integer number (51055050611001).

Almost surely, 2^{102110101222001} is an apocalyptic number.

It is an amenable number.

102110101222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110101222001 is an equidigital number, since it uses as much as digits as its factorization.

102110101222001 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 102110101222001 its reverse (100222101011201), we get a palindrome (202332202233202).

The spelling of 102110101222001 in words is "one hundred two trillion, one hundred ten billion, one hundred one million, two hundred twenty-two thousand, one".