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22100211101 is a prime number
BaseRepresentation
bin10100100101010001…
…100111010110011101
32010001012110001021002
4110211101213112131
5330230123223401
614052552120045
71411443460223
oct244521472635
963035401232
1022100211101
119410aa1781
124349396025
13211283a8b7
1410d91c8b13
15895325a6b
hex52546759d

22100211101 has 2 divisors, whose sum is σ = 22100211102. Its totient is φ = 22100211100.

The previous prime is 22100211011. The next prime is 22100211143. The reversal of 22100211101 is 10111200122.

Together with previous prime (22100211011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21793435876 + 306775225 = 147626^2 + 17515^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22100211101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100211151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050105550 + 11050105551.

It is an arithmetic number, because the mean of its divisors is an integer number (11050105551).

Almost surely, 222100211101 is an apocalyptic number.

It is an amenable number.

22100211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100211101 is an equidigital number, since it uses as much as digits as its factorization.

22100211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22100211101 its reverse (10111200122), we get a palindrome (32211411223).

It can be divided in two parts, 2210021 and 1101, that added together give a palindrome (2211122).

The spelling of 22100211101 in words is "twenty-two billion, one hundred million, two hundred eleven thousand, one hundred one".