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100121022222021 = 3417409317764361
BaseRepresentation
bin10110110000111100111101…
…111101101100111011000101
3111010111110212011222101210000
4112300330331331230323011
5101110340323142101041
6552534543532551513
730042335160100623
oct2660747575547305
9433443764871700
10100121022222021
11299a10a5992889
12b29015b922599
1343b34ab04b0c8
141aa1c51c0c513
15b8959e395bb6
hex5b0f3df6cec5

100121022222021 has 40 divisors (see below), whose sum is σ = 158400055104984. Its totient is φ = 62805681607680.

The previous prime is 100121022222019. The next prime is 100121022222043. The reversal of 100121022222021 is 120222220121001.

It is a happy number.

100121022222021 is a `hidden beast` number, since 10 + 0 + 1 + 210 + 222 + 220 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19246523571396 + 80874498650625 = 4387086^2 + 8993025^2 .

It is not a de Polignac number, because 100121022222021 - 21 = 100121022222019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121022221985 and 100121022222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121022229021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3246120 + ... + 14518241.

Almost surely, 2100121022222021 is an apocalyptic number.

It is an amenable number.

100121022222021 is a deficient number, since it is larger than the sum of its proper divisors (58279032882963).

100121022222021 is a wasteful number, since it uses less digits than its factorization.

100121022222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768483 (or 17768474 counting only the distinct ones).

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

Adding to 100121022222021 its reverse (120222220121001), we get a palindrome (220343242343022).

The spelling of 100121022222021 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 4093 12279 36837 69581 110511 208743 331533 626229 1878687 5636061 17764361 53293083 159879249 301994137 479637747 905982411 1438913241 2717947233 8153841699 24461525097 72709529573 218128588719 654385766157 1236062002741 1963157298471 3708186008223 5889471895413 11124558024669 33373674074007 100121022222021