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121221112012101 = 368310918380027
BaseRepresentation
bin11011100011111111111101…
…010100100001110101000101
3120220012121212201110111000000
4123203333331110201311011
5111342041314133341401
61105452113213111513
734350636106056663
oct3343777524416505
9526177781414000
10121221112012101
1135696648559492
1211719569188599
1352841428b761a
1421d11c1427c33
15e0338ca17186
hex6e3ffd521d45

121221112012101 has 56 divisors (see below), whose sum is σ = 185625784380960. Its totient is φ = 79107925984416.

The previous prime is 121221112012097. The next prime is 121221112012109. The reversal of 121221112012101 is 101210211122121.

It is a happy number.

121221112012101 is a `hidden beast` number, since 1 + 21 + 221 + 11 + 201 + 210 + 1 = 666.

It is not a de Polignac number, because 121221112012101 - 22 = 121221112012097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221112012109) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2594751 + ... + 15785276.

It is an arithmetic number, because the mean of its divisors is an integer number (3314746149660).

Almost surely, 2121221112012101 is an apocalyptic number.

It is an amenable number.

121221112012101 is a deficient number, since it is larger than the sum of its proper divisors (64404672368859).

121221112012101 is an equidigital number, since it uses as much as digits as its factorization.

121221112012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18380237 (or 18380222 counting only the distinct ones).

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

Adding to 121221112012101 its reverse (101210211122121), we get a palindrome (222431323134222).

The spelling of 121221112012101 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, one hundred one".

Divisors: 1 3 9 27 81 83 109 243 249 327 729 747 981 2241 2943 6723 8829 9047 20169 26487 27141 60507 79461 81423 244269 732807 2198421 6595263 18380027 55140081 165420243 496260729 1488782187 1525542241 2003422943 4466346561 4576626723 6010268829 13399039683 13729880169 18030806487 41189640507 54092419461 123568921521 162277258383 166284104269 370706764563 486831775149 498852312807 1112120293689 1460495325447 1496556938421 4489670815263 13469012445789 40407037337367 121221112012101