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111101310101 is a prime number
BaseRepresentation
bin110011101111000100…
…1110111010010010101
3101121202211201022211002
41213132021313102111
53310013413410401
6123012250353045
711012123361035
oct1473611672225
9347684638732
10111101310101
114313287a751
121964772b785
13a627718ca2
14553d5838c5
152d53b3ba6b
hex19de277495

111101310101 has 2 divisors, whose sum is σ = 111101310102. Its totient is φ = 111101310100.

The previous prime is 111101310059. The next prime is 111101310121. The reversal of 111101310101 is 101013101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68840640625 + 42260669476 = 262375^2 + 205574^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101310101 - 222 = 111097115797 is a prime.

It is a super-2 number, since 2×1111013101012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101310121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550655050 + 55550655051.

It is an arithmetic number, because the mean of its divisors is an integer number (55550655051).

Almost surely, 2111101310101 is an apocalyptic number.

It is an amenable number.

111101310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101310101 is an equidigital number, since it uses as much as digits as its factorization.

111101310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 111101310101 its reverse (101013101111), we get a palindrome (212114411212).

The spelling of 111101310101 in words is "one hundred eleven billion, one hundred one million, three hundred ten thousand, one hundred one".