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21022121000221 = 1131537338341603
BaseRepresentation
bin1001100011110100110000…
…00011011111110100011101
32202102200202202110011201021
410301322120003133310131
510223411300434001341
6112413232402244141
74266540520124635
oct461723003376435
982380682404637
1021022121000221
1167754822938a0
122436289956651
13b964ba4b8803
145296945416c5
15266c7867c9d1
hex131e980dfd1d

21022121000221 has 64 divisors (see below), whose sum is σ = 24514498658304. Its totient is φ = 17849853964800.

The previous prime is 21022121000117. The next prime is 21022121000249. The reversal of 21022121000221 is 12200012122012.

It is a happy number.

It is not a de Polignac number, because 21022121000221 - 215 = 21022120967453 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21022121000195 and 21022121000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022121000521) 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, 505282206 + ... + 505323808.

It is an arithmetic number, because the mean of its divisors is an integer number (383039041536).

Almost surely, 221022121000221 is an apocalyptic number.

It is an amenable number.

21022121000221 is a deficient number, since it is larger than the sum of its proper divisors (3492377658083).

21022121000221 is a wasteful number, since it uses less digits than its factorization.

21022121000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42154.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21022121000221 its reverse (12200012122012), we get a palindrome (33222133122233).

The spelling of 21022121000221 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 11 31 53 73 341 383 583 803 1643 2263 3869 4213 11873 18073 20299 24893 27959 41603 42559 119939 130603 223289 307549 457633 629269 866729 1289693 1319329 1481827 2204959 3037019 6921959 9534019 14186623 15933949 16300097 24254549 33407209 45936637 68353729 94147589 160962007 175273439 493952419 505303007 751891019 844499297 1035623479 1163178277 1770582077 4989822217 5433476609 9289492267 12794961047 26179478207 36058526587 54888044387 61648448681 287974260277 396643792457 678132935491 1911101909111 21022121000221