Search a number
-
+
102222120101201 is a prime number
BaseRepresentation
bin10111001111100001110001…
…001010000010010101010001
3111101221100011022022122002122
4113033201301022002111101
5101344301400221214301
61001224105500224025
730350206300305302
oct2717416112022521
9441840138278078
10102222120101201
112a631180965631
12b56b3b923b015
1345066736ac459
141b358114687a9
15bc4072b7581b
hex5cf871282551

102222120101201 has 2 divisors, whose sum is σ = 102222120101202. Its totient is φ = 102222120101200.

The previous prime is 102222120101183. The next prime is 102222120101243. The reversal of 102222120101201 is 102101021222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83150251992976 + 19071868108225 = 9118676^2 + 4367135^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222120101201 - 26 = 102222120101137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102222120101201.

It is not a weakly prime, because it can be changed into another prime (102222120101251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111060050600 + 51111060050601.

It is an arithmetic number, because the mean of its divisors is an integer number (51111060050601).

Almost surely, 2102222120101201 is an apocalyptic number.

It is an amenable number.

102222120101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222120101201 is an equidigital number, since it uses as much as digits as its factorization.

102222120101201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102222120101201 its reverse (102101021222201), we get a palindrome (204323141323402).

The spelling of 102222120101201 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty million, one hundred one thousand, two hundred one".