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1012010102001 = 321929614497451
BaseRepresentation
bin11101011101000001000…
…00001010110011110001
310120202011201112211011200
432232200200022303301
5113040044041231001
62052524440401413
7133054360635453
oct16564040126361
93522151484150
101012010102001
11360211357328
12144174176269
1374580559482
1436da55342d3
151b4d0d30086
hexeba080acf1

1012010102001 has 96 divisors (see below), whose sum is σ = 1621704240000. Its totient is φ = 605574144000.

The previous prime is 1012010101997. The next prime is 1012010102009. The reversal of 1012010102001 is 1002010102101.

It is a happy number.

It is not a de Polignac number, because 1012010102001 - 22 = 1012010101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1012010102009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135818326 + ... + 135825776.

It is an arithmetic number, because the mean of its divisors is an integer number (16892752500).

Almost surely, 21012010102001 is an apocalyptic number.

It is an amenable number.

1012010102001 is a deficient number, since it is larger than the sum of its proper divisors (609694137999).

1012010102001 is a wasteful number, since it uses less digits than its factorization.

1012010102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012010102001 its reverse (1002010102101), we get a palindrome (2014020204102).

The spelling of 1012010102001 in words is "one trillion, twelve billion, ten million, one hundred two thousand, one".

Divisors: 1 3 9 19 29 57 61 87 171 183 261 449 549 551 1159 1347 1653 1769 3477 4041 4959 5307 7451 8531 10431 13021 15921 22353 25593 27389 33611 39063 67059 76779 82167 100833 117189 141569 216079 246501 247399 302499 424707 454511 520391 648237 742197 794281 1274121 1363533 1561173 1944711 2226591 2382843 3345499 4090599 4105501 4683519 7148529 8635709 10036497 12316503 13180819 15091339 25907127 30109491 36949509 39542457 45274017 63564481 77721381 97019471 118627371 135822051 190693443 204075439 250435561 291058413 572080329 612226317 751306683 873175239 1836678951 1843369949 2253920049 3877433341 5530109847 5918187731 11632300023 16590329541 17754563193 34896900069 53263689579 112445566889 337336700667 1012010102001