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101002011202221 = 34310320813652843
BaseRepresentation
bin10110111101110001011100…
…111111111101001010101101
3111020121200211211011121112220
4112331301130333331022231
5101214304104331432341
6554451403340145553
730163103664630513
oct2675613477751255
9436550754147486
10101002011202221
112a200792230068
12b3b2a492382b9
1344485aacab96c
141ad27483cc4b3
15ba24628aca66
hex5bdc5cffd2ad

101002011202221 has 32 divisors (see below), whose sum is σ = 139205968991232. Its totient is φ = 65098904532480.

The previous prime is 101002011202187. The next prime is 101002011202357. The reversal of 101002011202221 is 122202110200101.

It is not a de Polignac number, because 101002011202221 - 217 = 101002011071149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101002011202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002011203221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25823826 + ... + 29476668.

It is an arithmetic number, because the mean of its divisors is an integer number (4350186530976).

Almost surely, 2101002011202221 is an apocalyptic number.

It is an amenable number.

101002011202221 is a deficient number, since it is larger than the sum of its proper divisors (38203957789011).

101002011202221 is a wasteful number, since it uses less digits than its factorization.

101002011202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655073.

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

Adding to 101002011202221 its reverse (122202110200101), we get a palindrome (223204121402322).

The spelling of 101002011202221 in words is "one hundred one trillion, two billion, eleven million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 43 103 129 309 2081 4429 6243 13287 89483 214343 268449 643029 3652843 9216749 10958529 27650247 157072249 376242829 471216747 1128728487 7601566283 16178441647 22804698849 48535324941 326867350169 782961327149 980602050507 2348883981447 33667337067407 101002011202221