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1012221202201 = 11323101443739
BaseRepresentation
bin11101011101011010001…
…01011100111100011001
310120202201102202211012121
432232231011130330121
5113041012111432301
62053001421141241
7133062533154106
oct16565505347431
93522642684177
101012221202201
1136030a531000
121442129ba821
13745b51cc031
1436dc55a5aad
151b4e462d3a1
hexebad15cf19

1012221202201 has 64 divisors (see below), whose sum is σ = 1177516984320. Its totient is φ = 868333752000.

The previous prime is 1012221202177. The next prime is 1012221202229. The reversal of 1012221202201 is 1022021222101.

It is a happy number.

It is not a de Polignac number, because 1012221202201 - 215 = 1012221169433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012221202231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369717090 + ... + 1369717828.

It is an arithmetic number, because the mean of its divisors is an integer number (18398702880).

Almost surely, 21012221202201 is an apocalyptic number.

1012221202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012221202201 is a deficient number, since it is larger than the sum of its proper divisors (165295782119).

1012221202201 is a wasteful number, since it uses less digits than its factorization.

1012221202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012221202201 its reverse (1022021222101), we get a palindrome (2034242424302).

The spelling of 1012221202201 in words is "one trillion, twelve billion, two hundred twenty-one million, two hundred two thousand, two hundred one".

Divisors: 1 11 23 101 121 253 443 739 1111 1331 2323 2783 4873 8129 10189 12221 16997 25553 30613 44743 53603 74639 89419 112079 134431 186967 281083 327377 492173 589633 821029 983609 1029089 1232869 1716697 2056637 3091913 3601147 5413903 7529671 9031319 11319979 13561559 18883667 22623007 33065077 39612617 59552933 82826381 99344509 124519769 207720337 363715847 435738787 760496771 911090191 1369717459 2284923707 4000874317 8365464481 10021992101 44009617487 92020109291 1012221202201