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122021101121101 = 71321783173422549
BaseRepresentation
bin11011101111101001000000…
…011000110010111001001101
3121000001002210100002220100021
4123233221000120302321031
5111443143203341333401
61111303415304102141
734462506431231560
oct3357510030627115
9530032710086307
10122021101121101
1135974949554656
121182860ba64951
13531170451ca00
14221bbd21564d7
15e190aeda72a1
hex6efa40632e4d

122021101121101 has 96 divisors (see below), whose sum is σ = 162749709561600. Its totient is φ = 89251224072192.

The previous prime is 122021101121071. The next prime is 122021101121107. The reversal of 122021101121101 is 101121101120221.

It is a de Polignac number, because none of the positive numbers 2k-122021101121101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122021101121107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288562575 + ... + 288985123.

It is an arithmetic number, because the mean of its divisors is an integer number (1695309474600).

Almost surely, 2122021101121101 is an apocalyptic number.

It is an amenable number.

122021101121101 is a deficient number, since it is larger than the sum of its proper divisors (40728608440499).

122021101121101 is a wasteful number, since it uses less digits than its factorization.

122021101121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422855 (or 422842 counting only the distinct ones).

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

Adding to 122021101121101 its reverse (101121101120221), we get a palindrome (223142202241322).

The spelling of 122021101121101 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 7 13 17 83 91 119 169 173 221 581 1079 1183 1211 1411 1547 2249 2873 2941 7553 9877 14027 14359 15743 18343 20111 20587 29237 38233 98189 100513 128401 186667 204659 238459 244103 267631 422549 497029 1306669 1669213 1708721 2426671 2957843 3173339 3479203 5493137 7183333 16986697 22213373 35071567 38451959 41253407 50283331 71410781 73100977 93383329 245500969 288773849 455930371 499875467 511706839 596216639 653683303 950312701 1213983277 1242716609 3191512597 4173516473 5927094823 6067381091 6652188907 7750816307 8497882939 8699016263 12354065113 16155315917 41489663761 42471667637 54255714149 78875954183 86478455791 100760611991 103145478547 113087211419 210019106921 552131679281 705324283937 722018349829 1025387404379 1340891221111 1470133748447 7177711830653 9386238547777 17431585874443 122021101121101