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121021202120121 = 322373137103356591
BaseRepresentation
bin11011100001000101110001…
…110000110011110110111001
3120212111111212122201202110200
4123201011301300303312321
5111330302410220320441
61105220212302232413
734330331131035402
oct3341056160636671
9525444778652420
10121021202120121
1135619892642826
12116a6877885709
13526b334157604
1421c56592c09a9
15ded08c4417b6
hex6e1171c33db9

121021202120121 has 96 divisors (see below), whose sum is σ = 186440810130432. Its totient is φ = 75485707038720.

The previous prime is 121021202120089. The next prime is 121021202120123.

121021202120121 is a `hidden beast` number, since 1 + 210 + 2 + 120 + 212 + 0 + 121 = 666.

121021202120121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121021202120121 - 25 = 121021202120089 is a prime.

It is a super-2 number, since 2×1210212021201212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021202120094 and 121021202120103.

It is not an unprimeable number, because it can be changed into a prime (121021202120123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2138495536 + ... + 2138552126.

It is an arithmetic number, because the mean of its divisors is an integer number (1942091772192).

Almost surely, 2121021202120121 is an apocalyptic number.

It is an amenable number.

121021202120121 is a deficient number, since it is larger than the sum of its proper divisors (65419608010311).

121021202120121 is a wasteful number, since it uses less digits than its factorization.

121021202120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57863 (or 57860 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 12102120 and 2120121, that added together give a palindrome (14222241).

The spelling of 121021202120121 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 23 69 73 137 207 219 411 657 1033 1233 1679 3099 3151 5037 9297 9453 10001 15111 23759 28359 30003 56591 71277 75409 90009 141521 169773 213831 226227 230023 424563 509319 678681 690069 1273689 1301593 1734407 2070207 3254983 3904779 4131143 5203221 7752967 9764949 10331033 11714337 12393429 15609663 23258901 29294847 30993099 37180287 58458503 69776703 92979297 95016289 175375509 178318241 237613759 285048867 526126527 534954723 565966591 712841277 855146601 1344545569 1604864169 1697899773 2138523831 4033636707 4267470719 5093699319 8008814911 12100910121 12802412157 13017231593 24026444733 38407236471 39051694779 72079334199 98151826537 117155084337 184202742953 294455479611 552608228859 584643488503 883366438833 1657824686577 1753930465509 5261791396527 13446800235569 40340400706707 121021202120121