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22101102097 is a prime number
BaseRepresentation
bin10100100101010101…
…000000111000010001
32010001021010022110221
4110211111000320101
5330230340231342
614053023153041
71411454160664
oct244525007021
963037108427
1022101102097
119411550138
124349745781
132112a90309
1410d937b6db
1589544ea67
hex525540e11

22101102097 has 2 divisors, whose sum is σ = 22101102098. Its totient is φ = 22101102096.

The previous prime is 22101102077. The next prime is 22101102113. The reversal of 22101102097 is 79020110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13048721361 + 9052380736 = 114231^2 + 95144^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101102097 - 27 = 22101101969 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101102077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050551048 + 11050551049.

It is an arithmetic number, because the mean of its divisors is an integer number (11050551049).

Almost surely, 222101102097 is an apocalyptic number.

It is an amenable number.

22101102097 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101102097 is an equidigital number, since it uses as much as digits as its factorization.

22101102097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 22101102097 in words is "twenty-two billion, one hundred one million, one hundred two thousand, ninety-seven".