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101101110122212 = 22172997871360661
BaseRepresentation
bin10110111111001101101111…
…110000010101011011100100
3111020222011122012021100101221
4112333031233300111123210
5101222420033142402322
6555005113034030124
730203212520561554
oct2677155760253344
9436864565240357
10101101110122212
112a239815a66442
12b40a0a5278344
134454a41c07265
141ad74698d1164
15ba4d129559c7
hex5bf36fc156e4

101101110122212 has 96 divisors (see below), whose sum is σ = 195817794973920. Its totient is φ = 45456868638720.

The previous prime is 101101110122179. The next prime is 101101110122213. The reversal of 101101110122212 is 212221011101101.

It can be written as a sum of positive squares in 16 ways, for example, as 1936478197476 + 99164631924736 = 1391574^2 + 9958144^2 .

It is not an unprimeable number, because it can be changed into a prime (101101110122213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666627162 + ... + 1666687822.

It is an arithmetic number, because the mean of its divisors is an integer number (2039768697645).

Almost surely, 2101101110122212 is an apocalyptic number.

It is an amenable number.

101101110122212 is a deficient number, since it is larger than the sum of its proper divisors (94716684851708).

101101110122212 is a wasteful number, since it uses less digits than its factorization.

101101110122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69521 (or 69519 counting only the distinct ones).

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

Adding to 101101110122212 its reverse (212221011101101), we get a palindrome (313322121223313).

The spelling of 101101110122212 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 17 29 34 58 68 97 116 194 388 493 986 1649 1972 2813 3298 5626 6596 8713 11252 17426 34852 47821 60661 95642 121322 148121 191284 242644 252677 296242 505354 592484 845161 1010708 1031237 1690322 1759169 2062474 3380644 3518338 4124948 4295509 5884117 7036676 8591018 11768234 14367737 17182036 23536468 24509669 28735474 29905873 49019338 57470948 59811746 98038676 100029989 119623492 170639393 200059978 341278786 400119956 416664373 528539293 682557572 833328746 1057078586 1666657492 2114157172 2900869681 5801739362 8985167981 11603478724 15327639497 17970335962 30655278994 35940671924 51268311421 61310557988 102536622842 205073245684 260569871449 521139742898 871561294157 1042279485796 1486781031209 1743122588314 2973562062418 3486245176628 5947124124836 25275277530553 50550555061106 101101110122212