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101212221201 = 37134161271547
BaseRepresentation
bin101111001000010110…
…1111110111100010001
3100200020122122120010020
41132100231332330101
53124240312034301
6114255105054053
710212063454050
oct1362055767421
9320218576106
10101212221201
1139a18729903
1217747927329
13970c9c27b0
144c82052397
15297588b436
hex1790b7ef11

101212221201 has 128 divisors (see below), whose sum is σ = 173887537152. Its totient is φ = 50948352000.

The previous prime is 101212221181. The next prime is 101212221233. The reversal of 101212221201 is 102122212101.

It is not a de Polignac number, because 101212221201 - 215 = 101212188433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101212221281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 185031210 + ... + 185031756.

It is an arithmetic number, because the mean of its divisors is an integer number (1358496384).

Almost surely, 2101212221201 is an apocalyptic number.

It is an amenable number.

101212221201 is a deficient number, since it is larger than the sum of its proper divisors (72675315951).

101212221201 is a wasteful number, since it uses less digits than its factorization.

101212221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212221201 its reverse (102122212101), we get a palindrome (203334433302).

It can be divided in two parts, 10121 and 2221201, that added together give a palindrome (2231322).

The spelling of 101212221201 in words is "one hundred one billion, two hundred twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 39 41 61 91 123 183 271 273 287 427 533 547 793 813 861 1281 1599 1641 1897 2379 2501 3523 3731 3829 5551 5691 7111 7503 10569 11111 11193 11487 16531 16653 17507 21333 22427 24661 32513 33333 33367 49593 49777 52521 67281 73983 77777 97539 100101 115717 144443 148237 149331 156989 214903 227591 233331 233569 291551 347151 433329 433771 444711 470967 644709 677771 682773 700707 874653 1011101 1037659 1301313 1368047 1504321 1927081 2033313 2040857 3033303 3036397 3112977 4104141 4512963 4744397 5781243 6077717 6122571 8811023 9042457 9109191 9576329 13489567 14233191 17784611 18233151 26433069 27127371 28728987 40468701 42544019 53353833 61677161 63297199 79010321 117551941 124492277 127632057 185031483 189891597 237030963 352655823 370740737 373476831 553072247 822863587 1112222211 1659216741 2468590761 2595185159 4819629581 7785555477 14458888743 33737407067 101212221201