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22120020120101 is a prime number
BaseRepresentation
bin1010000011110001101111…
…11100010001001000100101
32220022122122020100011201012
411001320313330101020211
510344403300122320401
6115013444050512005
74442055501511361
oct501706774211045
986278566304635
1022120020120101
117059058765522
122593011b95605
13c45ba7c58447
145668869b02a1
152855d49908bb
hex141e37f11225

22120020120101 has 2 divisors, whose sum is σ = 22120020120102. Its totient is φ = 22120020120100.

The previous prime is 22120020120097. The next prime is 22120020120103. The reversal of 22120020120101 is 10102102002122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12218764936225 + 9901255183876 = 3495535^2 + 3146626^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120020120101 - 22 = 22120020120097 is a prime.

It is a super-2 number, since 2×221200201201012 (a number of 27 digits) contains 22 as substring.

Together with 22120020120103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22120020120103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060010060050 + 11060010060051.

It is an arithmetic number, because the mean of its divisors is an integer number (11060010060051).

Almost surely, 222120020120101 is an apocalyptic number.

It is an amenable number.

22120020120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120020120101 is an equidigital number, since it uses as much as digits as its factorization.

22120020120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22120020120101 its reverse (10102102002122), we get a palindrome (32222122122223).

The spelling of 22120020120101 in words is "twenty-two trillion, one hundred twenty billion, twenty million, one hundred twenty thousand, one hundred one".