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100022221222101 = 3237101110914711823
BaseRepresentation
bin10110101111100000111100…
…111101110011000011010101
3111010011000211120110120102200
4112233200330331303003111
5101102231002113101401
6552421324000355113
730032236612334313
oct2657407475630325
9433130746416380
10100022221222101
1129963205340242
12b274b87615a99
1343a7093a72989
141a9b15c0db0b3
15b86c1a54a686
hex5af83cf730d5

100022221222101 has 96 divisors (see below), whose sum is σ = 150169848791040. Its totient is φ = 64100175552000.

The previous prime is 100022221222097. The next prime is 100022221222109. The reversal of 100022221222101 is 101222122220001.

It is a happy number.

100022221222101 is a `hidden beast` number, since 10 + 0 + 0 + 222 + 212 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 100022221222101 - 22 = 100022221222097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022221222109) 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, 54866823676 + ... + 54866825498.

It is an arithmetic number, because the mean of its divisors is an integer number (1564269258240).

Almost surely, 2100022221222101 is an apocalyptic number.

It is an amenable number.

100022221222101 is a deficient number, since it is larger than the sum of its proper divisors (50147627568939).

100022221222101 is a wasteful number, since it uses less digits than its factorization.

100022221222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100022221222101 its reverse (101222122220001), we get a palindrome (201244343442102).

The spelling of 100022221222101 in words is "one hundred trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 37 101 111 303 333 909 1109 1471 1823 3327 3737 4413 5469 9981 11211 13239 16407 33633 41033 54427 67451 112009 123099 148571 163281 184123 202353 336027 369297 445713 489843 552369 607059 1008081 1337139 1631339 1657107 2021707 2681633 4144333 4894017 5497127 6065121 6812551 8044899 12432999 14682051 16491381 18195363 20437653 24134697 37298997 49474143 60359543 61312959 74803159 99220421 164765239 181078629 204192407 224409477 270844933 297661263 494295717 543235887 612577221 673228431 812534799 892983789 1482887151 1837731663 2437604397 2973930997 6096313843 7555119059 8921792991 10021262521 18288941529 22665357177 26765378973 30063787563 54866824587 67996071531 90191362689 110035446889 300367030697 330106340667 901101092091 990319022001 2703303276273 11113580135789 33340740407367 100022221222101