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121100021101221 = 31747613049271637
BaseRepresentation
bin11011100010001111001011…
…101111010111001010100101
3120212210001022200112212002220
4123202033023233113022211
5111333100320400214341
61105320325350422553
734336121262235251
oct3342171357271245
9525701280485086
10121100021101221
113564a259927928
12116b9bb4061a59
1352758b56b2676
1421c93b526b261
15e00151dc3a66
hex6e23cbbd72a5

121100021101221 has 64 divisors (see below), whose sum is σ = 177523473484800. Its totient is φ = 73124237352960.

The previous prime is 121100021101183. The next prime is 121100021101243. The reversal of 121100021101221 is 122101120001121.

It is a happy number.

It is not a de Polignac number, because 121100021101221 - 211 = 121100021099173 is a prime.

It is a super-3 number, since 3×1211000211012213 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121100021101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100021101121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445679815 + ... + 445951451.

It is an arithmetic number, because the mean of its divisors is an integer number (2773804273200).

Almost surely, 2121100021101221 is an apocalyptic number.

It is an amenable number.

121100021101221 is a deficient number, since it is larger than the sum of its proper divisors (56423452383579).

121100021101221 is a wasteful number, since it uses less digits than its factorization.

121100021101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274814.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121100021101221 its reverse (122101120001121), we get a palindrome (243201141102342).

The spelling of 121100021101221 in words is "one hundred twenty-one trillion, one hundred billion, twenty-one million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 17 47 51 61 141 183 799 1037 2397 2867 3049 3111 8601 9147 48739 51833 143303 146217 155499 185989 271637 429909 557967 814911 2436151 3161813 4617829 7308453 8741483 9485439 12766939 13853487 16569857 26224449 38300817 49709571 148605211 217037963 281687569 445815633 651113889 778783279 828221213 845062707 2336349837 2484663639 13239315743 14079760621 38926397011 39717947229 42239281863 50521493993 116779191033 151564481979 661748749187 858865397881 1985246247561 2374510217671 2576596193643 7123530653013 40366673700407 121100021101221