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11020100201001 = 3237593111803553
BaseRepresentation
bin1010000001011101000100…
…1010000110101000101001
31110000111210201201200111100
42200113101022012220221
52421023131122413001
635234321504352013
72215114233110403
oct240272112065051
943014721650440
1011020100201001
1135696642a7481
12129b929315609
1361c2637b2b08
142a1538ca1b73
151419d1119586
hexa05d1286a29

11020100201001 has 48 divisors (see below), whose sum is σ = 16678690254720. Its totient is φ = 7004418831360.

The previous prime is 11020100200969. The next prime is 11020100201039. The reversal of 11020100201001 is 10010200102011.

It is a happy number.

It is not a de Polignac number, because 11020100201001 - 25 = 11020100200969 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 (11020100201501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5208441 + ... + 7011993.

It is an arithmetic number, because the mean of its divisors is an integer number (347472713640).

Almost surely, 211020100201001 is an apocalyptic number.

It is an amenable number.

11020100201001 is a deficient number, since it is larger than the sum of its proper divisors (5658590053719).

11020100201001 is a wasteful number, since it uses less digits than its factorization.

11020100201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803966 (or 1803963 counting only the distinct ones).

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

Adding to 11020100201001 its reverse (10010200102011), we get a palindrome (21030300303012).

The spelling of 11020100201001 in words is "eleven trillion, twenty billion, one hundred million, two hundred one thousand, one".

Divisors: 1 3 9 37 59 111 177 311 333 531 933 2183 2799 6549 11507 18349 19647 34521 55047 103563 165141 678913 1803553 2036739 5410659 6110217 16231977 66731461 106409627 200194383 319228881 560904983 600583149 957686643 1682714949 3937156199 5048144847 11811468597 20753484371 33093393997 35434405791 62260453113 99280181991 186781359339 297840545973 1224455577889 3673366733667 11020100201001