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100221212201 = 11229107266927
BaseRepresentation
bin101110101010110100…
…1100101011000101001
3100120200120220002100012
41131111221211120221
53120223112242301
6114012504221305
710145401151015
oct1352551453051
9316616802305
10100221212201
113955a297100
121750ba6a835
1395b25b2b36
144bca5a5545
152918883ebb
hex1755a65629

100221212201 has 24 divisors (see below), whose sum is σ = 115024613760. Its totient is φ = 87146000480.

The previous prime is 100221212111. The next prime is 100221212209. The reversal of 100221212201 is 102212122001.

It is not a de Polignac number, because 100221212201 - 214 = 100221195817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242000 + ... + 508926.

It is an arithmetic number, because the mean of its divisors is an integer number (4792692240).

Almost surely, 2100221212201 is an apocalyptic number.

100221212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221212201 is a deficient number, since it is larger than the sum of its proper divisors (14803401559).

100221212201 is a wasteful number, since it uses less digits than its factorization.

100221212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267085 (or 267074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221212201 its reverse (102212122001), we get a palindrome (202433334202).

The spelling of 100221212201 in words is "one hundred billion, two hundred twenty-one million, two hundred twelve thousand, two hundred one".

Divisors: 1 11 29 107 121 319 1177 3103 3509 12947 34133 266927 375463 2936197 7740883 28561189 32298167 85149713 314173079 828274481 936646843 3455903869 9111019291 100221212201