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100212110022201 = 31671814091270131
BaseRepresentation
bin10110110010010001110011…
…001110000101011000111001
3111010211011222020202002012220
4112302101303032011120321
5101113333400131202301
6553044450252354253
730052041335446362
oct2662216316053071
9433734866662186
10100212110022201
1129a26798646291
12b2a5940a75989
1343bbc6633c118
141aa6413390b69
15b8bb30e98936
hex5b2473385639

100212110022201 has 32 divisors (see below), whose sum is σ = 135192413131776. Its totient is φ = 66024742392000.

The previous prime is 100212110022173. The next prime is 100212110022229. The reversal of 100212110022201 is 102220011212001.

It is an interprime number because it is at equal distance from previous prime (100212110022173) and next prime (100212110022229).

It is not a de Polignac number, because 100212110022201 - 211 = 100212110020153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100212110021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370840906 + ... + 371111036.

It is an arithmetic number, because the mean of its divisors is an integer number (4224762910368).

Almost surely, 2100212110022201 is an apocalyptic number.

It is an amenable number.

100212110022201 is a deficient number, since it is larger than the sum of its proper divisors (34980303109575).

100212110022201 is a wasteful number, since it uses less digits than its factorization.

100212110022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274573.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100212110022201 its reverse (102220011212001), we get a palindrome (202432121234202).

The spelling of 100212110022201 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, twenty-two thousand, two hundred one".

Divisors: 1 3 167 181 501 543 4091 12273 30227 90681 270131 683197 740471 810393 2049591 2221413 45111877 48893711 123658657 135335631 146681133 370975971 1105105921 3315317763 8165249737 24495749211 184552688807 200024171701 553658066421 600072515103 33404036674067 100212110022201