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102101321021 = 724049514621
BaseRepresentation
bin101111100010110110…
…1101000010100111101
3100202112121122111210012
41133011231220110331
53133100414233041
6114523225353005
710243110623600
oct1370555502475
9322477574705
10102101321021
113a334596747
1217955638765
139821c7096b
144d28172337
1529c89633eb
hex17c5b6853d

102101321021 has 12 divisors (see below), whose sum is σ = 118800488700. Its totient is φ = 87493633920.

The previous prime is 102101320973. The next prime is 102101321027. The reversal of 102101321021 is 120123101201.

It can be written as a sum of positive squares in 2 ways, for example, as 31680084121 + 70421236900 = 177989^2 + 265370^2 .

It is a de Polignac number, because none of the positive numbers 2k-102101321021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101320987 and 102101321005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101321027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58910 + ... + 455711.

It is an arithmetic number, because the mean of its divisors is an integer number (9900040725).

Almost surely, 2102101321021 is an apocalyptic number.

It is an amenable number.

102101321021 is a deficient number, since it is larger than the sum of its proper divisors (16699167679).

102101321021 is an equidigital number, since it uses as much as digits as its factorization.

102101321021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518684 (or 518677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102101321021 its reverse (120123101201), we get a palindrome (222224422222).

The spelling of 102101321021 in words is "one hundred two billion, one hundred one million, three hundred twenty-one thousand, twenty-one".

Divisors: 1 7 49 4049 28343 198401 514621 3602347 25216429 2083700429 14585903003 102101321021