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121103122020101 = 1325327113925849
BaseRepresentation
bin11011100010010010000100…
…100100011011011100000101
3120212210100022210110212010022
4123202102010210123130011
5111333123143214120401
61105322001202104525
734336261154511134
oct3342220444333405
9525710283425108
10121103122020101
1135650600257101
12116ba71a64b145
135275c8ac6ca00
1421c95cb02391b
15e0028424e71b
hex6e248491b705

121103122020101 has 72 divisors (see below), whose sum is σ = 136519131672000. Its totient is φ = 107351442132480.

The previous prime is 121103122020077. The next prime is 121103122020103. The reversal of 121103122020101 is 101020221301121.

It is a happy number.

It is not a de Polignac number, because 121103122020101 - 218 = 121103121757957 is a prime.

It is a super-2 number, since 2×1211031220201012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 121103122020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121103122020103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4685008625 + ... + 4685034473.

It is an arithmetic number, because the mean of its divisors is an integer number (1896099051000).

Almost surely, 2121103122020101 is an apocalyptic number.

It is an amenable number.

121103122020101 is a deficient number, since it is larger than the sum of its proper divisors (15416009651899).

121103122020101 is a wasteful number, since it uses less digits than its factorization.

121103122020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26191 (or 26125 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 121103122020101 its reverse (101020221301121), we get a palindrome (222123343321222).

The spelling of 121103122020101 in words is "one hundred twenty-one trillion, one hundred three billion, one hundred twenty-two million, twenty thousand, one hundred one".

Divisors: 1 13 53 71 139 169 689 923 1807 2809 3763 7367 8957 9869 11999 23491 25849 36517 48919 95771 128297 199439 336037 390451 474721 523057 635947 1245023 1369997 1667861 1835279 2592707 3593011 4368481 5075863 6799741 17809961 23858627 27722021 33705191 46709143 65986219 72609841 88396633 97269787 190429583 231529493 255103781 310162151 360386273 607218859 943927933 1264507231 2475584579 3316349153 4685021549 5155298711 10092767899 12271063129 13520500393 16438594003 32182599527 43112538989 67018883243 131205982687 175766505109 716586520829 871245482159 1705677774931 2284964566417 9315624770777 121103122020101