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10001211332201 = 171231799359791
BaseRepresentation
bin1001000110001001011010…
…1001100001011001101001
31022102002212121120022012222
42101202112221201121221
52302324440100112301
633134254300043425
72051364224451125
oct221422651413151
938362777508188
1010001211332201
11320654307a911
121156375533575
135771580b9a3b
142680bdd6c585
1512524b46b31b
hex91896a61669

10001211332201 has 16 divisors (see below), whose sum is σ = 10599623451648. Its totient is φ = 9403924262400.

The previous prime is 10001211332197. The next prime is 10001211332237. The reversal of 10001211332201 is 10223311210001.

It is a cyclic number.

It is not a de Polignac number, because 10001211332201 - 22 = 10001211332197 is a prime.

It is a super-2 number, since 2×100012113322012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10001211332201.

It is not an unprimeable number, because it can be changed into a prime (10001211331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167239616 + ... + 167299406.

It is an arithmetic number, because the mean of its divisors is an integer number (662476465728).

Almost surely, 210001211332201 is an apocalyptic number.

It is an amenable number.

10001211332201 is a deficient number, since it is larger than the sum of its proper divisors (598412119447).

10001211332201 is a wasteful number, since it uses less digits than its factorization.

10001211332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69032.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10001211332201 its reverse (10223311210001), we get a palindrome (20224522542202).

The spelling of 10001211332201 in words is "ten trillion, one billion, two hundred eleven million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 17 1231 7993 20927 59791 135881 1016447 9839383 73602721 167269511 477909463 1251246257 8124460871 588306548953 10001211332201