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2122010121 = 372118397163
BaseRepresentation
bin111111001111011…
…0100111000001001
312110212221021122110
41332132310320021
513321213310441
6550322012533
7103404534300
oct17636647011
95425837573
102122010121
11999901680
124b27a7149
1327a8261ba
14161b79437
15c6463b16
hex7e7b4e09

2122010121 has 96 divisors (see below), whose sum is σ = 3693731328. Its totient is φ = 1071221760.

The previous prime is 2122010119. The next prime is 2122010123. The reversal of 2122010121 is 1210102212.

It is an interprime number because it is at equal distance from previous prime (2122010119) and next prime (2122010123).

It is not a de Polignac number, because 2122010121 - 21 = 2122010119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122010097 and 2122010106.

It is not an unprimeable number, because it can be changed into a prime (2122010123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13018386 + ... + 13018548.

It is an arithmetic number, because the mean of its divisors is an integer number (38476368).

Almost surely, 22122010121 is an apocalyptic number.

2122010121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122010121 is a deficient number, since it is larger than the sum of its proper divisors (1571721207).

2122010121 is a wasteful number, since it uses less digits than its factorization.

2122010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

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

The square root of 2122010121 is about 46065.2810802235. The cubic root of 2122010121 is about 1285.0375459766.

Adding to 2122010121 its reverse (1210102212), we get a palindrome (3332112333).

The spelling of 2122010121 in words is "two billion, one hundred twenty-two million, ten thousand, one hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 77 83 97 147 163 231 249 291 489 539 581 679 913 1067 1141 1617 1743 1793 2037 2739 3201 3423 4067 4753 5379 6391 7469 7987 8051 12201 12551 13529 14259 15811 19173 22407 23961 24153 37653 40587 44737 47433 52283 56357 87857 88561 94703 110677 134211 148819 156849 169071 173921 263571 265683 284109 332031 394499 446457 521763 619927 662921 774739 1041733 1183497 1217447 1312313 1859781 1988763 2324217 3125199 3652341 3936939 4339489 7292131 8522129 9186191 13018467 14435443 21876393 25566387 27558573 43306329 64303337 101048101 192910011 303144303 707336707 2122010121