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100101222022221 = 32737192892226319
BaseRepresentation
bin10110110000101010100001…
…110001111011110001001101
3111010102120202021102000212200
4112300222201301323301031
5101110024300314202341
6552521511101552113
730041034412136610
oct2660524161736115
9433376667360780
10100101222022221
112999376521a6a2
12b288354875639
1343b1673b8a854
141aa0cd4296177
15b88ce0e44db6
hex5b0aa1c7bc4d

100101222022221 has 48 divisors (see below), whose sum is σ = 169721456985600. Its totient is φ = 55651823172864.

The previous prime is 100101222022187. The next prime is 100101222022231. The reversal of 100101222022221 is 122220222101001.

It is a happy number.

100101222022221 is a `hidden beast` number, since 100 + 101 + 2 + 220 + 22 + 221 = 666.

100101222022221 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100101222022221 - 26 = 100101222022157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101222022194 and 100101222022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101222022231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43849500 + ... + 46075818.

It is an arithmetic number, because the mean of its divisors is an integer number (3535863687200).

Almost surely, 2100101222022221 is an apocalyptic number.

It is an amenable number.

100101222022221 is a deficient number, since it is larger than the sum of its proper divisors (69620234963379).

100101222022221 is a wasteful number, since it uses less digits than its factorization.

100101222022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245658 (or 2245655 counting only the distinct ones).

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

Adding to 100101222022221 its reverse (122220222101001), we get a palindrome (222321444123222).

The spelling of 100101222022221 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 19289 57867 135023 173601 405069 713693 1215207 2141079 2226319 4995851 6423237 6678957 14987553 15584233 20036871 44962659 46752699 82373803 140258097 247121409 576616621 741364227 1729849863 5189549589 42943467191 128830401573 300604270337 386491204719 901812811011 1588908286067 2705438433033 4766724858201 11122358002469 14300174574603 33367074007407 100101222022221