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102201212011122 = 2347211427130453
BaseRepresentation
bin10111001111001110010010…
…111100000000001001110010
3111101212100012012001121110000
4113033032102330000021302
5101343431040233323442
61001210331051250430
730345536210416410
oct2717162274001162
9441770165047400
10102201212011122
112a623321889044
12b567343149a16
1345046c0b37a13
141b347ca71c2b0
15bc374c330d4c
hex5cf392f00272

102201212011122 has 80 divisors (see below), whose sum is σ = 262962009744192. Its totient is φ = 29061955954080.

The previous prime is 102201212011117. The next prime is 102201212011123. The reversal of 102201212011122 is 221110212102201.

102201212011122 is a `hidden beast` number, since 1 + 0 + 220 + 121 + 201 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102201212011095 and 102201212011104.

It is not an unprimeable number, because it can be changed into a prime (102201212011123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 213325953 + ... + 213804500.

Almost surely, 2102201212011122 is an apocalyptic number.

102201212011122 is an abundant number, since it is smaller than the sum of its proper divisors (160760797733070).

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

102201212011122 is a wasteful number, since it uses less digits than its factorization.

102201212011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427130685 (or 427130676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201212011122 its reverse (221110212102201), we get a palindrome (323311424113323).

The spelling of 102201212011122 in words is "one hundred two trillion, two hundred one billion, two hundred twelve million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 211 378 422 567 633 1134 1266 1477 1899 2954 3798 4431 5697 8862 11394 13293 17091 26586 34182 39879 79758 119637 239274 427130453 854260906 1281391359 2562782718 2989913171 3844174077 5979826342 7688348154 8969739513 11532522231 17939479026 23065044462 26909218539 34597566693 53818437078 69195133386 80727655617 90124525583 161455311234 180249051166 242182966851 270373576749 484365933702 540747153498 630871679081 811120730247 1261743358162 1622241460494 1892615037243 2433362190741 3785230074486 4866724381482 5677845111729 7300086572223 11355690223458 14600173144446 17033535335187 34067070670374 51100606005561 102201212011122