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222212132101 is a prime number
BaseRepresentation
bin1100111011110011100…
…0000000110100000101
3210020120100022220111201
43032330320000310011
512120042301211401
6250025521102501
722024423646431
oct3167470006405
9706510286451
10222212132101
118626aa56873
1237096487a31
1317c540b55cb
14aa800c19c1
155ba8506b01
hex33bce00d05

222212132101 has 2 divisors, whose sum is σ = 222212132102. Its totient is φ = 222212132100.

The previous prime is 222212132071. The next prime is 222212132161. The reversal of 222212132101 is 101231212222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206393033025 + 15819099076 = 454305^2 + 125774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222212132101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222212132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111106066050 + 111106066051.

It is an arithmetic number, because the mean of its divisors is an integer number (111106066051).

Almost surely, 2222212132101 is an apocalyptic number.

It is an amenable number.

222212132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222212132101 is an equidigital number, since it uses as much as digits as its factorization.

222212132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 222212132101 its reverse (101231212222), we get a palindrome (323443344323).

The spelling of 222212132101 in words is "two hundred twenty-two billion, two hundred twelve million, one hundred thirty-two thousand, one hundred one".