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101122011012220 = 225111285193576479
BaseRepresentation
bin10110111111100001001101…
…100010111001110001111100
3111021001011120210222120102021
4112333201031202321301330
5101223240334304342340
6555022451024405524
730204552462322132
oct2677411542716174
9437034523876367
10101122011012220
112a247670a75460
12b412158a768a4
1344569c312a6b3
141ad848d6c5752
15ba5637826e4a
hex5bf84d8b9c7c

101122011012220 has 48 divisors (see below), whose sum is σ = 231663201638400. Its totient is φ = 36771343968320.

The previous prime is 101122011012107. The next prime is 101122011012251. The reversal of 101122011012220 is 22210110221101.

It is a super-2 number, since 2×1011220110122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122011012194 and 101122011012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26485941 + ... + 30062419.

It is an arithmetic number, because the mean of its divisors is an integer number (4826316700800).

Almost surely, 2101122011012220 is an apocalyptic number.

101122011012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122011012220 is an abundant number, since it is smaller than the sum of its proper divisors (130541190626180).

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

101122011012220 is a wasteful number, since it uses less digits than its factorization.

101122011012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705018 (or 3705016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122011012220 its reverse (22210110221101), we get a palindrome (123332121233321).

The spelling of 101122011012220 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 128519 257038 514076 642595 1285190 1413709 2570380 2827418 3576479 5654836 7068545 7152958 14137090 14305916 17882395 28274180 35764790 39341269 71529580 78682538 157365076 196706345 393412690 786825380 459645504601 919291009202 1838582018404 2298227523005 4596455046010 5056100550611 9192910092020 10112201101222 20224402202444 25280502753055 50561005506110 101122011012220