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2121211021011 = 31741113157211271
BaseRepresentation
bin11110110111100010000…
…001111000011011010011
321111210012211202200222120
4132313202001320123103
5234223220010133021
64302245413505323
7306152405116665
oct36674201703323
97453184680876
102121211021011
11748667359a15
122a3131342243
1312504c601404
147494a994535
153a29e4492c6
hex1ede20786d3

2121211021011 has 128 divisors (see below), whose sum is σ = 3140859359232. Its totient is φ = 1268047872000.

The previous prime is 2121211020997. The next prime is 2121211021019. The reversal of 2121211021011 is 1101201121212.

It is a happy number.

It is not a de Polignac number, because 2121211021011 - 25 = 2121211020979 is a prime.

It is a super-3 number, since 3×21212110210113 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2121211021019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7827346806 + ... + 7827347076.

It is an arithmetic number, because the mean of its divisors is an integer number (24537963744).

Almost surely, 22121211021011 is an apocalyptic number.

2121211021011 is a deficient number, since it is larger than the sum of its proper divisors (1019648338221).

2121211021011 is a wasteful number, since it uses less digits than its factorization.

2121211021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2121211021011 its reverse (1101201121212), we get a palindrome (3222412142223).

The spelling of 2121211021011 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, twenty-one thousand, eleven".

Divisors: 1 3 17 41 51 113 123 157 211 271 339 471 633 697 813 1921 2091 2669 3587 4607 4633 5763 6437 8007 8651 10761 11111 13821 13899 17741 19311 23843 25953 30623 33127 33333 42547 53223 57181 71529 78761 91869 99381 109429 127641 147067 171543 188887 236283 301597 328287 405331 441201 520591 563159 566661 723299 727381 904791 972077 977563 1215993 1255543 1358207 1561773 1689477 1744427 2169897 2182143 2344421 2916231 2932689 3743351 3766629 4074621 4807811 5233281 6461453 7033263 8977417 11230053 12365477 14423433 16618571 19384359 21344231 23089519 26932251 29655259 37096431 39855157 49855713 63636967 64032693 69268557 81732787 88965777 109844701 119565471 152616089 153477391 190910901 197120251 245198361 264919573 329534103 368074097 457848267 460432173 591360753 794758719 1014448121 1104222291 2609115647 3043344363 3351044267 4503632741 6257259649 7827346941 10053132801 13510898223 17245618057 18771778947 41592372961 51736854171 124777118883 707070340337 2121211021011