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10010122101012 = 223112310132644967
BaseRepresentation
bin1001000110101010100111…
…0001011010000100010100
31022102221212121202021001110
42101222221301122010110
52303001212224213022
633142330412455020
72052131104651005
oct221525161320424
938387777667043
1010010122101012
11320a2a5a65360
12115804177a470
13577c48226cc7
142686c75971ac
151255bd8be00c
hex91aa9c5a114

10010122101012 has 96 divisors (see below), whose sum is σ = 26851400239104. Its totient is φ = 2872757008000.

The previous prime is 10010122101011. The next prime is 10010122101041. The reversal of 10010122101012 is 21010122101001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122101011) 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, 16015848 + ... + 16629119.

It is an arithmetic number, because the mean of its divisors is an integer number (279702085824).

Almost surely, 210010122101012 is an apocalyptic number.

10010122101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010122101012 is an abundant number, since it is smaller than the sum of its proper divisors (16841278138092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10010122101012 is a wasteful number, since it uses less digits than its factorization.

10010122101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32645109 (or 32645107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10010122101012 its reverse (21010122101001), we get a palindrome (31020244202013).

The spelling of 10010122101012 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 404 506 606 759 1012 1111 1212 1518 2222 2323 3036 3333 4444 4646 6666 6969 9292 13332 13938 25553 27876 51106 76659 102212 153318 306636 32644967 65289934 97934901 130579868 195869802 359094637 391739604 718189274 750834241 1077283911 1436378548 1501668482 2154567822 2252502723 3003336964 3297141667 4309135644 4505005446 6594283334 8259176651 9010010892 9891425001 13188566668 16518353302 19782850002 24777529953 33036706604 36268558337 39565700004 49555059906 72537116674 75834258341 99110119812 108805675011 145074233348 151668516682 217611350022 227502775023 303337033364 435222700044 455005550046 834176841751 910011100092 1668353683502 2502530525253 3336707367004 5005061050506 10010122101012