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11221100212101 = 31317387712011579
BaseRepresentation
bin1010001101001001110110…
…1100010010111110000101
31110201201121202201012022220
42203102131230102332011
52432321303123241401
635510522520242553
72235461216032563
oct243223554227605
943651552635286
1011221100212101
11363692959982a
121312883910459
136351b7044220
142ab165ad4a33
15146d47273336
hexa349db12f85

11221100212101 has 64 divisors (see below), whose sum is σ = 16247754405120. Its totient is φ = 6847499980800.

The previous prime is 11221100212099. The next prime is 11221100212111. The reversal of 11221100212101 is 10121200112211.

It is a happy number.

11221100212101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11221100212101 - 21 = 11221100212099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221100212111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7106459130 + ... + 7106460708.

It is an arithmetic number, because the mean of its divisors is an integer number (253871162580).

Almost surely, 211221100212101 is an apocalyptic number.

It is an amenable number.

11221100212101 is a deficient number, since it is larger than the sum of its proper divisors (5026654193019).

11221100212101 is a wasteful number, since it uses less digits than its factorization.

11221100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846.

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

Adding to 11221100212101 its reverse (10121200112211), we get a palindrome (21342300324312).

The spelling of 11221100212101 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 13 39 173 519 877 1201 1579 2249 2631 3603 4737 6747 11401 15613 20527 34203 46839 61581 151721 207773 273167 455163 623319 819501 1053277 1384783 1896379 1972373 2701049 3159831 3551171 4154349 5689137 5917119 8103147 10653513 13692601 18002179 24652927 41077803 54006537 73958781 182216921 239567459 328073567 546650763 718702377 984220701 1663124383 2368819973 3114376967 4264956371 4989373149 7106459919 9343130901 12794869113 21620616979 64861850937 287720518259 863161554777 3740366737367 11221100212101