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22111211213101 is a prime number
BaseRepresentation
bin1010000011100001010101…
…11000111101000100101101
32220021210220022211100000101
411001300222320331010231
510344232230032304401
6115005430013231101
74441324266156643
oct501605270750455
986253808740011
1022111211213101
11705534832329a
122591373a92491
13c45102c6423a
1456628cadd193
1528526b45e101
hex141c2ae3d12d

22111211213101 has 2 divisors, whose sum is σ = 22111211213102. Its totient is φ = 22111211213100.

The previous prime is 22111211213099. The next prime is 22111211213131. The reversal of 22111211213101 is 10131211211122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19486697811876 + 2624513401225 = 4414374^2 + 1620035^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111211213101 - 21 = 22111211213099 is a prime.

It is a super-2 number, since 2×221112112131012 (a number of 27 digits) contains 22 as substring.

Together with 22111211213099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22111211213131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055605606550 + 11055605606551.

It is an arithmetic number, because the mean of its divisors is an integer number (11055605606551).

Almost surely, 222111211213101 is an apocalyptic number.

It is an amenable number.

22111211213101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111211213101 is an equidigital number, since it uses as much as digits as its factorization.

22111211213101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 22111211213101 its reverse (10131211211122), we get a palindrome (32242422424223).

The spelling of 22111211213101 in words is "twenty-two trillion, one hundred eleven billion, two hundred eleven million, two hundred thirteen thousand, one hundred one".