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102122020101 = 31729682910111
BaseRepresentation
bin101111100011011110…
…0100101110100000101
3100202121001121010120210
41133012330211310011
53133121214120401
6114525245150033
710243451564013
oct1370674456405
9322531533523
10102122020101
113a345244222
121796055b319
13982633a33a
144d2abdd8b3
1529ca6a14d6
hex17c6f25d05

102122020101 has 32 divisors (see below), whose sum is σ = 149180313600. Its totient is φ = 61851847680.

The previous prime is 102122020087. The next prime is 102122020129. The reversal of 102122020101 is 101020221201.

It is not a de Polignac number, because 102122020101 - 26 = 102122020037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122020151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10095036 + ... + 10105146.

It is an arithmetic number, because the mean of its divisors is an integer number (4661884800).

Almost surely, 2102122020101 is an apocalyptic number.

It is an amenable number.

102122020101 is a deficient number, since it is larger than the sum of its proper divisors (47058293499).

102122020101 is a wasteful number, since it uses less digits than its factorization.

102122020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16989.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122020101 its reverse (101020221201), we get a palindrome (203142241302).

The spelling of 102122020101 in words is "one hundred two billion, one hundred twenty-two million, twenty thousand, one hundred one".

Divisors: 1 3 17 29 51 87 493 1479 6829 10111 20487 30333 116093 171887 198041 293219 348279 515661 594123 879657 3366697 4984723 10100091 14954169 69048019 207144057 1173816323 2002392551 3521448969 6007177653 34040673367 102122020101