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10221111101 is a prime number
BaseRepresentation
bin10011000010011100…
…11100011100111101
3222101022211020112102
421201032130130331
5131413101023401
64410121514445
7511201003505
oct114116343475
928338736472
1010221111101
114375607063
121b93042a25
13c6b756846
146cd67ca05
153ec4d756b
hex26139c73d

10221111101 has 2 divisors, whose sum is σ = 10221111102. Its totient is φ = 10221111100.

The previous prime is 10221111097. The next prime is 10221111163. The reversal of 10221111101 is 10111112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5198554201 + 5022556900 = 72101^2 + 70870^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221111101 - 22 = 10221111097 is a prime.

It is a super-2 number, since 2×102211111012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221111191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110555550 + 5110555551.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555551).

Almost surely, 210221111101 is an apocalyptic number.

It is an amenable number.

10221111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221111101 is an equidigital number, since it uses as much as digits as its factorization.

10221111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10221111101 its reverse (10111112201), we get a palindrome (20332223302).

The spelling of 10221111101 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, one hundred one".