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122100110121 = 31112592938843
BaseRepresentation
bin111000110110110111…
…0111101001100101001
3102200011100220020222210
41301231232331030221
54000030112010441
6132031513035333
711551516545303
oct1615556751451
9380140806883
10122100110121
1147867368a20
121b7b70b5b49
13b68b313392
145ca4220973
153299540616
hex1c6dbbd329

122100110121 has 16 divisors (see below), whose sum is σ = 177741285120. Its totient is φ = 73941264720.

The previous prime is 122100110113. The next prime is 122100110137. The reversal of 122100110121 is 121011001221.

It is not a de Polignac number, because 122100110121 - 23 = 122100110113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100110097 and 122100110106.

It is not an unprimeable number, because it can be changed into a prime (122100111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427875 + ... + 1510968.

It is an arithmetic number, because the mean of its divisors is an integer number (11108830320).

Almost surely, 2122100110121 is an apocalyptic number.

122100110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100110121 is a deficient number, since it is larger than the sum of its proper divisors (55641174999).

122100110121 is a wasteful number, since it uses less digits than its factorization.

122100110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940116.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122100110121 its reverse (121011001221), we get a palindrome (243111111342).

It can be divided in two parts, 122100 and 110121, that added together give a triangular number (232221 = T681).

The spelling of 122100110121 in words is "one hundred twenty-two billion, one hundred million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 33 1259 3777 13849 41547 2938843 8816529 32327273 96981819 3700003337 11100010011 40700036707 122100110121