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121220202112101 = 3319459166617727
BaseRepresentation
bin11011100011111111000111…
…000101100010010001100101
3120220012112112022022202212000
4123203333013011202101211
5111342032433220041401
61105451443030515513
734350604420046211
oct3343770705422145
9526175468282760
10121220202112101
1135696220985114
1211719354505b99
135284029235a61
1421d1136651941
15e03337bd2186
hex6e3fc7162465

121220202112101 has 64 divisors (see below), whose sum is σ = 189131387289600. Its totient is φ = 76522055745600.

The previous prime is 121220202112099. The next prime is 121220202112129. The reversal of 121220202112101 is 101211202022121.

121220202112101 is a `hidden beast` number, since 1 + 2 + 1 + 220 + 20 + 211 + 210 + 1 = 666.

It is not a de Polignac number, because 121220202112101 - 21 = 121220202112099 is a prime.

It is a super-3 number, since 3×1212202021121013 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220202112171) 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, 15687870100 + ... + 15687877826.

It is an arithmetic number, because the mean of its divisors is an integer number (2955177926400).

Almost surely, 2121220202112101 is an apocalyptic number.

It is an amenable number.

121220202112101 is a deficient number, since it is larger than the sum of its proper divisors (67911185177499).

121220202112101 is a wasteful number, since it uses less digits than its factorization.

121220202112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 19001 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121220202112101 its reverse (101211202022121), we get a palindrome (222431404134222).

The spelling of 121220202112101 in words is "one hundred twenty-one trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 9 19 27 57 171 513 4591 6661 7727 13773 19983 23181 41319 59949 69543 87229 123957 126559 146813 179847 208629 261687 379677 440439 785061 1139031 1321317 2355183 3417093 3963951 30580651 35474657 51469547 91741953 106423971 154408641 275225859 319271913 463225923 581032369 674018483 825677577 957815739 977921393 1389677769 1743097107 2022055449 2933764179 5229291321 6066166347 8801292537 15687873963 18198499041 26403877611 236296690277 708890070831 2126670212493 4489637115263 6380010637479 13468911345789 40406734037367 121220202112101