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101221111101110 = 257111331159324529
BaseRepresentation
bin10111000000111101100000…
…010111101111011010110110
3111021101122101021021200200212
4113000331200113233122312
5101231401313420213420
6555140200403305422
730214661331222110
oct2700754027573266
9437348337250625
10101221111101110
112a2856a5429a70
12b4293b537b272
134463157375050
141add1b10103b0
15ba7ed7a513c5
hex5c0f605ef6b6

101221111101110 has 128 divisors (see below), whose sum is σ = 244638087321600. Its totient is φ = 29121533061120.

The previous prime is 101221111101079. The next prime is 101221111101127. The reversal of 101221111101110 is 11101111122101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311739326 + ... + 312063854.

It is an arithmetic number, because the mean of its divisors is an integer number (1911235057200).

Almost surely, 2101221111101110 is an apocalyptic number.

101221111101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101221111101110 is an abundant number, since it is smaller than the sum of its proper divisors (143416976220490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101221111101110 is a wasteful number, since it uses less digits than its factorization.

101221111101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355726.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101221111101110 its reverse (11101111122101), we get a palindrome (112322222223211).

The spelling of 101221111101110 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 31159 62318 155795 218113 311590 324529 342749 405067 436226 649058 685498 810134 1090565 1622645 1713745 2025335 2181130 2271703 2399243 2835469 3245290 3427490 3569819 4050670 4218877 4455737 4543406 4798486 5670938 7139638 8437754 8911474 11358515 11996215 14177345 17849095 21094385 22278685 22717030 23992430 24988733 28354690 29532139 31190159 35698190 42188770 44557370 46407647 49977466 59064278 62380318 92815294 124943665 147660695 155950795 232038235 249887330 295321390 311901590 324853529 464076470 649707058 1624267645 3248535290 10111999111 20223998222 50559995555 70783993777 101119991110 111231990221 131455988443 141567987554 222463980442 262911976886 353919968885 556159951105 657279942215 707839937770 778623931547 920191919101 1112319902210 1314559884430 1446015872873 1557247863094 1840383838202 2892031745746 3893119657735 4600959595505 7230079364365 7786239315470 9201919191010 10122111110111 14460158728730 20244222220222 50610555550555 101221111101110