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121610102121 = 3297543725621
BaseRepresentation
bin111000101000010000…
…1101110010101101001
3102121220012212021101100
41301100201232111221
53443024141231441
6131511130312013
711533416545454
oct1612041562551
9377805767340
10121610102121
1147635806732
121b69ab88609
13b610949311
145c5910a49b
15326b4eccb6
hex1c5086e569

121610102121 has 24 divisors (see below), whose sum is σ = 177509523464. Its totient is φ = 80219704320.

The previous prime is 121610102101. The next prime is 121610102143. The reversal of 121610102121 is 121201016121.

121610102121 is a `hidden beast` number, since 1 + 2 + 1 + 610 + 10 + 21 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6053618025 + 115556484096 = 77805^2 + 339936^2 .

It is not a de Polignac number, because 121610102121 - 27 = 121610101993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121610102094 and 121610102103.

It is not an unprimeable number, because it can be changed into a prime (121610102101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4733691 + ... + 4759311.

Almost surely, 2121610102121 is an apocalyptic number.

It is an amenable number.

121610102121 is a deficient number, since it is larger than the sum of its proper divisors (55899421343).

121610102121 is a wasteful number, since it uses less digits than its factorization.

121610102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31161 (or 31158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121610102121 its reverse (121201016121), we get a palindrome (242811118242).

The spelling of 121610102121 in words is "one hundred twenty-one billion, six hundred ten million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 97 291 873 5437 16311 25621 48933 76863 230589 527389 1582167 2485237 4746501 7455711 22367133 139301377 417904131 1253712393 13512233569 40536700707 121610102121