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201010021001001 = 32893591951358289
BaseRepresentation
bin101101101101000101001010…
…111001011110011100101001
3222100201100222222100002010200
4231231011022321132130221
5202321322010334013001
61551302421232502413
760224331464214102
oct5555051271363451
9870640888302120
10201010021001001
1159058964597653
121a6651093aaa09
1388212186b8ac4
14378cd18cd93a9
151838aea461086
hexb6d14ae5e729

201010021001001 has 48 divisors (see below), whose sum is σ = 294579732096000. Its totient is φ = 132063810278400.

The previous prime is 201010021000981. The next prime is 201010021001011. The reversal of 201010021001001 is 100100120010102.

It is a happy number.

It is not a de Polignac number, because 201010021001001 - 241 = 198810997745449 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 (201010021001011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560848465 + ... + 561206753.

It is an arithmetic number, because the mean of its divisors is an integer number (6137077752000).

Almost surely, 2201010021001001 is an apocalyptic number.

It is an amenable number.

201010021001001 is a deficient number, since it is larger than the sum of its proper divisors (93569711094999).

201010021001001 is a wasteful number, since it uses less digits than its factorization.

201010021001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360694 (or 360691 counting only the distinct ones).

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

Adding to 201010021001001 its reverse (100100120010102), we get a palindrome (301110141011103).

The spelling of 201010021001001 in words is "two hundred one trillion, ten billion, twenty-one million, one thousand, one".

Divisors: 1 3 9 89 267 359 801 1077 1951 3231 5853 17559 31951 95853 173639 287559 358289 520917 700409 1074867 1562751 2101227 3224601 6303681 31887721 62336401 95663163 128625751 187009203 286989489 385877253 561027609 699021839 1157631759 2097065517 6291196551 11447691839 34343075517 62212943671 103029226551 186638831013 250948840201 559916493039 752846520603 2258539561809 22334446777889 67003340333667 201010021001001