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101012221017 = 344329001499
BaseRepresentation
bin101111000010011001…
…1000010110001011001
3100122201201022111110000
41132010303002301121
53123333112033032
6114223202243213
710204114466121
oct1360463026131
9318651274400
10101012221017
11399258467a4
12176b0956509
1396aa4383a6
144c6366dc81
152963031e7c
hex1784cc2c59

101012221017 has 20 divisors (see below), whose sum is σ = 154403986000. Its totient is φ = 65775397464.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221017 is 710122210101.

It is not a de Polignac number, because 101012221017 - 27 = 101012220889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012221217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14497267 + ... + 14504232.

It is an arithmetic number, because the mean of its divisors is an integer number (7720199300).

Almost surely, 2101012221017 is an apocalyptic number.

It is an amenable number.

101012221017 is a deficient number, since it is larger than the sum of its proper divisors (53391764983).

101012221017 is an equidigital number, since it uses as much as digits as its factorization.

101012221017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29001554 (or 29001545 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 101012221017 its reverse (710122210101), we get a palindrome (811134431118).

The spelling of 101012221017 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, seventeen".

Divisors: 1 3 9 27 43 81 129 387 1161 3483 29001499 87004497 261013491 783040473 1247064457 2349121419 3741193371 11223580113 33670740339 101012221017