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10201121021021 = 717419737956873
BaseRepresentation
bin1001010001110010001000…
…1100011101110001011101
31100010012212122220201001212
42110130202030131301131
52314113343440133041
633410155202314205
72102002200665210
oct224344214356135
940105778821055
1010201121021021
1132832a8967977
121189066958965
1358cc667a8438
14273a46061777
1512a54ba018eb
hex9472231dc5d

10201121021021 has 64 divisors (see below), whose sum is σ = 12809589972480. Its totient is φ = 7924881162240.

The previous prime is 10201121020997. The next prime is 10201121021057. The reversal of 10201121021021 is 12012012110201.

It is not a de Polignac number, because 10201121021021 - 222 = 10201116826717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201121020987 and 10201121021005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201121021521) 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, 179338241 + ... + 179395113.

It is an arithmetic number, because the mean of its divisors is an integer number (200149843320).

Almost surely, 210201121021021 is an apocalyptic number.

It is an amenable number.

10201121021021 is a deficient number, since it is larger than the sum of its proper divisors (2608468951459).

10201121021021 is a wasteful number, since it uses less digits than its factorization.

10201121021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57414.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201121021021 its reverse (12012012110201), we get a palindrome (22213133131222).

The spelling of 10201121021021 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, twenty-one thousand, twenty-one".

Divisors: 1 7 17 41 97 119 287 379 679 697 1649 2653 3977 4879 6443 11543 15539 27839 36763 45101 56873 67609 108773 257341 264163 398111 473263 624971 966841 1507283 1849141 2331793 4374797 5516681 6767887 10550981 16322551 21554867 25623811 38616767 39640481 93783577 150884069 179366677 226183921 277483367 366432739 656485039 883749547 1583287447 2090822099 2565029173 3845126657 6186246829 14635754693 15023742299 26915886599 35543975683 85723706059 105166196093 248807829781 600065942413 1457303003003 10201121021021