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10100101221012 = 223111737121646929
BaseRepresentation
bin1001001011111001110011…
…1100100000101010010100
31022202120010102100011012110
42102332130330200222110
52310440001403033022
633251531125351020
72061464631601635
oct222763474405224
938676112304173
1010100101221012
113244479914a50
121171573568470
1358358791844a
1426cbc17bb88c
15127ad7ec400c
hex92f9cf20a94

10100101221012 has 96 divisors (see below), whose sum is σ = 27957384040320. Its totient is φ = 2802745221120.

The previous prime is 10100101220969. The next prime is 10100101221019. The reversal of 10100101221012 is 21012210100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101221019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60740437 + ... + 60906492.

It is an arithmetic number, because the mean of its divisors is an integer number (291222750420).

Almost surely, 210100101221012 is an apocalyptic number.

10100101221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100101221012 is an abundant number, since it is smaller than the sum of its proper divisors (17857282819308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100101221012 is a wasteful number, since it uses less digits than its factorization.

10100101221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121647001 (or 121646999 counting only the distinct ones).

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

Adding to 10100101221012 its reverse (21012210100101), we get a palindrome (31112311321113).

The spelling of 10100101221012 in words is "ten trillion, one hundred billion, one hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 132 148 187 204 222 374 407 444 561 629 748 814 1122 1221 1258 1628 1887 2244 2442 2516 3774 4884 6919 7548 13838 20757 27676 41514 83028 121646929 243293858 364940787 486587716 729881574 1338116219 1459763148 2067997793 2676232438 4014348657 4135995586 4500936373 5352464876 6203993379 8028697314 8271991172 9001872746 12407986758 13502809119 16057394628 18003745492 22747975723 24815973516 27005618238 45495951446 49510300103 54011236476 68243927169 76515918341 90991902892 99020600206 136487854338 148530900309 153031836682 198041200412 229547755023 272975708676 297061800618 306063673364 459095510046 594123601236 841675101751 918191020092 1683350203502 2525025305253 3366700407004 5050050610506 10100101221012