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102221201121221 = 7137919772178237
BaseRepresentation
bin10111001111100000111010…
…011000011001111111000101
3111101221020210021002121120002
4113033200322120121333011
5101344243004441334341
61001223434351251045
730350144441146340
oct2717407230317705
9441836707077502
10102221201121221
112a63084a14a346
12b56b1a1519a85
13450655819ba10
141b357653ab457
15bc401c14a29b
hex5cf83a619fc5

102221201121221 has 32 divisors (see below), whose sum is σ = 128049968471040. Its totient is φ = 79449182781696.

The previous prime is 102221201121209. The next prime is 102221201121223. The reversal of 102221201121221 is 122121102122201.

It is not a de Polignac number, because 102221201121221 - 210 = 102221201120197 is a prime.

It is a super-2 number, since 2×1022212011212212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102221201121193 and 102221201121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102221201121223) 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, 34672886 + ... + 37505351.

It is an arithmetic number, because the mean of its divisors is an integer number (4001561514720).

Almost surely, 2102221201121221 is an apocalyptic number.

It is an amenable number.

102221201121221 is a deficient number, since it is larger than the sum of its proper divisors (25828767349819).

102221201121221 is a wasteful number, since it uses less digits than its factorization.

102221201121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72178533.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102221201121221 its reverse (122121102122201), we get a palindrome (224342303243422).

The spelling of 102221201121221 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 13 79 91 197 553 1027 1379 2561 7189 15563 17927 108941 202319 1416233 72178237 505247659 938317081 5702080723 6568219567 14219112689 39914565061 74127049399 99533788823 184848464957 518889345793 1123309902431 1293939254699 7863169317017 14603028731603 102221201121221