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121112332100021 = 17169737091131881
BaseRepresentation
bin11011100010011010101001…
…100010000110000110110101
3120212211020002122212101121102
4123202122221202012012311
5111333301024004200041
61105330123130055445
734340035331061113
oct3342325142060665
9525736078771542
10121112332100021
11356544a70954a9
121170046ab7a585
135276ac80c6342
1421c9c222c2ab3
15e00622ac709b
hex6e26a98861b5

121112332100021 has 16 divisors (see below), whose sum is σ = 128346861772080. Its totient is φ = 113890091581440.

The previous prime is 121112332099981. The next prime is 121112332100047. The reversal of 121112332100021 is 120001233211121.

It can be written as a sum of positive squares in 8 ways, for example, as 41789618031121 + 79322714068900 = 6464489^2 + 8906330^2 .

It is a cyclic number.

It is not a de Polignac number, because 121112332100021 - 238 = 120837454193077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121112332099966 and 121112332100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112332108021) 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, 106435001 + ... + 107566881.

It is an arithmetic number, because the mean of its divisors is an integer number (8021678860755).

Almost surely, 2121112332100021 is an apocalyptic number.

It is an amenable number.

121112332100021 is a deficient number, since it is larger than the sum of its proper divisors (7234529672059).

121112332100021 is a wasteful number, since it uses less digits than its factorization.

121112332100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137304.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 121112332100021 its reverse (120001233211121), we get a palindrome (241113565311142).

The spelling of 121112332100021 in words is "one hundred twenty-one trillion, one hundred twelve billion, three hundred thirty-two million, one hundred thousand, twenty-one".

Divisors: 1 17 1697 3709 28849 63053 1131881 6294173 19241977 107000941 1920802057 4198146629 32653634969 71368492693 7124254829413 121112332100021