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110121122102121 = 321341127180757859
BaseRepresentation
bin11001000010011110010010…
…010111010111101101101001
3112102220110212100011002100100
4121002132102113113231221
5103413211024224231441
61030112540050500013
732123663030430654
oct3102362227275551
9472813770132310
10110121122102121
11320a7118636239
1210426264b94609
13495a4b9aa7680
141d29c682da89b
15cae782e67cb6
hex6427925d7b69

110121122102121 has 48 divisors (see below), whose sum is σ = 176859274475520. Its totient is φ = 65593411511040.

The previous prime is 110121122102119. The next prime is 110121122102141. The reversal of 110121122102121 is 121201221121011.

It is a happy number.

110121122102121 is a `hidden beast` number, since 110 + 1 + 211 + 221 + 0 + 2 + 121 = 666.

It is not a de Polignac number, because 110121122102121 - 21 = 110121122102119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110121122102094 and 110121122102103.

It is not an unprimeable number, because it can be changed into a prime (110121122102111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89769711 + ... + 90988148.

It is an arithmetic number, because the mean of its divisors is an integer number (3684568218240).

Almost surely, 2110121122102121 is an apocalyptic number.

It is an amenable number.

110121122102121 is a deficient number, since it is larger than the sum of its proper divisors (66738152373399).

110121122102121 is a wasteful number, since it uses less digits than its factorization.

110121122102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180758046 (or 180758043 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110121122102121 its reverse (121201221121011), we get a palindrome (231322343223132).

The spelling of 110121122102121 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 41 117 123 127 369 381 533 1143 1599 1651 4797 4953 5207 14859 15621 46863 67691 203073 609219 180757859 542273577 1626820731 2349852167 7049556501 7411072219 21148669503 22233216657 22956248093 66699649971 68868744279 96343938847 206606232837 289031816541 298431225209 867095449623 895293675627 941206171813 2685881026881 2823618515439 8470855546317 12235680233569 36707040700707 110121122102121