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101222022221 is a prime number
BaseRepresentation
bin101111001000101001…
…1010111110001001101
3100200021100002111120222
41132101103113301031
53124300314202341
6114300055121125
710212242664335
oct1362123276115
9320240074528
10101222022221
1139a23213521
121774b0731a5
139711a44908
144c834840c5
15297667544b
hex17914d7c4d

101222022221 has 2 divisors, whose sum is σ = 101222022222. Its totient is φ = 101222022220.

The previous prime is 101222022203. The next prime is 101222022227. The reversal of 101222022221 is 122220222101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62257236196 + 38964786025 = 249514^2 + 197395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101222022221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101222022221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101222022227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611011110 + 50611011111.

It is an arithmetic number, because the mean of its divisors is an integer number (50611011111).

Almost surely, 2101222022221 is an apocalyptic number.

It is an amenable number.

101222022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101222022221 is an equidigital number, since it uses as much as digits as its factorization.

101222022221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101222022221 its reverse (122220222101), we get a palindrome (223442244322).

The spelling of 101222022221 in words is "one hundred one billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty-one".