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10222101022221 = 32111926320663107
BaseRepresentation
bin1001010011000000010010…
…1100110100011000001101
31100012020000210111012020100
42110300010230310120031
52314434330330202341
633423545100441313
72103344123030364
oct224600454643015
940166023435210
1010222101022221
1132911945a0340
121191140b49239
13591c2b20a52a
14274a7656a7db
1512ad787ed3b6
hex94c04b3460d

10222101022221 has 48 divisors (see below), whose sum is σ = 17019788797440. Its totient is φ = 5846832473760.

The previous prime is 10222101022181. The next prime is 10222101022247. The reversal of 10222101022221 is 12222010122201.

It is a happy number.

It is not a de Polignac number, because 10222101022221 - 230 = 10221027280397 is a prime.

It is a super-2 number, since 2×102221010222212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222101022194 and 10222101022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222101022291) 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 47 ways as a sum of consecutive naturals, for example, 9836851 + ... + 10826256.

It is an arithmetic number, because the mean of its divisors is an integer number (354578933280).

Almost surely, 210222101022221 is an apocalyptic number.

10222101022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10222101022221 is a deficient number, since it is larger than the sum of its proper divisors (6797687775219).

10222101022221 is a wasteful number, since it uses less digits than its factorization.

10222101022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20663406 (or 20663403 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222101022221 its reverse (12222010122201), we get a palindrome (22444111144422).

The spelling of 10222101022221 in words is "ten trillion, two hundred twenty-two billion, one hundred one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 263 627 789 1881 2367 2893 4997 8679 14991 26037 44973 54967 164901 494703 20663107 61989321 185967963 227294177 392599033 681882531 1177797099 2045647593 3533391297 4318589363 5434397141 12955768089 16303191423 38867304267 48909574269 59778368551 103253545679 179335105653 309760637037 538005316959 929281911111 1135789002469 3407367007407 10222101022221