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10220011210101 = 3721131269757927
BaseRepresentation
bin1001010010111000100000…
…1000110100010101110101
31100012000122011010201221110
42110232020020310111311
52314421040332210401
633423001444505233
72103241255644600
oct224561010642565
940160564121843
1010220011210101
113290311990590
1211908590ab219
13591987278904
14274918bb3337
1512aca50e99d6
hex94b88234575

10220011210101 has 96 divisors (see below), whose sum is σ = 17916690309120. Its totient is φ = 5118729033600.

The previous prime is 10220011210021. The next prime is 10220011210117. The reversal of 10220011210101 is 10101211002201.

It is not a de Polignac number, because 10220011210101 - 213 = 10220011201909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220011210501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13105200 + ... + 13863126.

It is an arithmetic number, because the mean of its divisors is an integer number (186632190720).

Almost surely, 210220011210101 is an apocalyptic number.

10220011210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220011210101 is a deficient number, since it is larger than the sum of its proper divisors (7696679099019).

10220011210101 is a wasteful number, since it uses less digits than its factorization.

10220011210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758255 (or 758248 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10220011210101 its reverse (10101211002201), we get a palindrome (20321222212302).

The spelling of 10220011210101 in words is "ten trillion, two hundred twenty billion, eleven million, two hundred ten thousand, one hundred one".

Divisors: 1 3 7 11 21 31 33 49 77 93 147 217 231 269 341 539 651 807 1023 1519 1617 1883 2387 2959 4557 5649 7161 8339 8877 13181 16709 20713 25017 39543 50127 58373 62139 91729 144991 175119 275187 408611 434973 642103 757927 1225833 1926309 2273781 4494721 5305489 8337197 13484163 15916467 23495737 25011591 37138423 58360379 70487211 111415269 164470159 175081137 203882363 258453107 408522653 493410477 611647089 775359321 1151291113 1225567959 1427176541 1809171749 2242705993 3453873339 4281529623 5427515247 6320353253 6728117979 9990235787 12664202243 15698941951 18961059759 29970707361 37992606729 44242472771 47096825853 69523885783 109892593657 132727418313 208571657349 309697309397 329677780971 486667200481 929091928191 1460001601443 3406670403367 10220011210101