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221121002112101 = 7138977951350249
BaseRepresentation
bin110010010001101110111110…
…110010001000010001100101
31001222220221221211100011120122
4302101232332302020101211
5212440321303020041401
62102141330325211325
764401315365146460
oct6221567662102145
91058827854304518
10221121002112101
1164501988097013
1220972894260b45
13964c80c522140
143c8645676c2d7
151a86ce85de21b
hexc91bbec88465

221121002112101 has 32 divisors (see below), whose sum is σ = 275211095040000. Its totient is φ = 172984405017600.

The previous prime is 221121002112091. The next prime is 221121002112193. The reversal of 221121002112101 is 101211200121122.

It is a cyclic number.

It is not a de Polignac number, because 221121002112101 - 230 = 221119928370277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221121002112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121002112601) 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 31 ways as a sum of consecutive naturals, for example, 631150025 + ... + 631500273.

It is an arithmetic number, because the mean of its divisors is an integer number (8600346720000).

Almost surely, 2221121002112101 is an apocalyptic number.

It is an amenable number.

221121002112101 is a deficient number, since it is larger than the sum of its proper divisors (54090092927899).

221121002112101 is a wasteful number, since it uses less digits than its factorization.

221121002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428309.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221121002112101 its reverse (101211200121122), we get a palindrome (322332202233223).

The spelling of 221121002112101 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two million, one hundred twelve thousand, one hundred one".

Divisors: 1 7 13 89 91 623 1157 8099 77951 350249 545657 1013363 2451743 4553237 6937639 7093541 31172161 31872659 48563473 90189307 218205127 405238093 631325149 2836666651 27302259799 191115818593 354929377387 2429901122111 2484505641709 17009307854777 31588714587443 221121002112101