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102120012101 = 1934763124547
BaseRepresentation
bin101111100011011010…
…0111011100101000101
3100202120220211010010102
41133012310323211011
53133120210341401
6114525134133445
710243425531542
oct1370664734505
9322526733112
10102120012101
113a3440a2618
121795b951285
139825ab6383
144d2a839bc9
1529ca40656b
hex17c6d3b945

102120012101 has 16 divisors (see below), whose sum is σ = 107979778560. Its totient is φ = 96309667440.

The previous prime is 102120012097. The next prime is 102120012131. The reversal of 102120012101 is 101210021201.

It is a cyclic number.

It is not a de Polignac number, because 102120012101 - 22 = 102120012097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120012131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4147910 + ... + 4172456.

It is an arithmetic number, because the mean of its divisors is an integer number (6748736160).

Almost surely, 2102120012101 is an apocalyptic number.

It is an amenable number.

102120012101 is a deficient number, since it is larger than the sum of its proper divisors (5859766459).

102120012101 is a wasteful number, since it uses less digits than its factorization.

102120012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120012101 its reverse (101210021201), we get a palindrome (203330033302).

It can be divided in two parts, 1021200 and 12101, that added together give a palindrome (1033301).

The spelling of 102120012101 in words is "one hundred two billion, one hundred twenty million, twelve thousand, one hundred one".

Divisors: 1 19 347 631 6593 11989 24547 218957 466393 4160183 8517809 15489157 161838371 294293983 5374737479 102120012101