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10101001020201 = 3271337333333367
BaseRepresentation
bin1001001011111101001010…
…0100111110001100101001
31022202122110010110200122100
42102333102210332030221
52310443322230121301
633252200311244013
72061526136013120
oct222772244761451
938678403420570
1010101001020201
1132448a081a443
121171784979609
1358369c1715c0
1426cc690c4ab7
15127b3beb1286
hex92fd293e329

10101001020201 has 48 divisors (see below), whose sum is σ = 18442668584704. Its totient is φ = 5184000508032.

The previous prime is 10101001020137. The next prime is 10101001020211. The reversal of 10101001020201 is 10202010010101.

It is a happy number.

It is not a de Polignac number, because 10101001020201 - 26 = 10101001020137 is a prime.

It is a super-2 number, since 2×101010010202012 (a number of 27 digits) contains 22 as substring.

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

10101001020201 is a modest number, since divided by 1020201 gives 101010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10101001020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166636381 + ... + 166696986.

Almost surely, 210101001020201 is an apocalyptic number.

It is an amenable number.

10101001020201 is a deficient number, since it is larger than the sum of its proper divisors (8341667564503).

10101001020201 is a wasteful number, since it uses less digits than its factorization.

10101001020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333333430 (or 333333427 counting only the distinct ones).

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

Adding to 10101001020201 its reverse (10202010010101), we get a palindrome (20303011030302).

The spelling of 10101001020201 in words is "ten trillion, one hundred one billion, one million, twenty thousand, two hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 333333367 1000000101 2333333569 3000000303 4333333771 7000000707 12333334579 13000001313 21000002121 30333336397 37000003737 39000003939 86333342053 91000009191 111000011211 160333349527 259000026159 273000027573 481000048581 777000078477 1122333446689 1443000145743 3367000340067 10101001020201