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10101202001 = 11175310110091
BaseRepresentation
bin10010110100001010…
…00001110001010001
3222001222012020011122
421122011001301101
5131141401431001
64350155452025
7505213541342
oct113205016121
928058166148
1010101202001
114313957630
121b5aa57015
13c4c962107
146bb7880c9
153e1bedb1b
hex25a141c51

10101202001 has 32 divisors (see below), whose sum is σ = 12006734976. Its totient is φ = 8394880000.

The previous prime is 10101201997. The next prime is 10101202039. The reversal of 10101202001 is 10020210101.

It is a cyclic number.

It is not a de Polignac number, because 10101202001 - 22 = 10101201997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101202001.

It is not an unprimeable number, because it can be changed into a prime (10101202051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995966 + ... + 1006056.

It is an arithmetic number, because the mean of its divisors is an integer number (375210468).

Almost surely, 210101202001 is an apocalyptic number.

10101202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101202001 is a deficient number, since it is larger than the sum of its proper divisors (1905532975).

10101202001 is a wasteful number, since it uses less digits than its factorization.

10101202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10273.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101202001 its reverse (10020210101), we get a palindrome (20121412102).

The spelling of 10101202001 in words is "ten billion, one hundred one million, two hundred two thousand, one".

Divisors: 1 11 17 53 101 187 583 901 1111 1717 5353 9911 10091 18887 58883 91001 111001 171547 534823 1001011 1019191 1887017 5883053 9091991 11211101 17326247 54017123 100011901 190588717 594188353 918291091 10101202001