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100221010201 = 1322112810539
BaseRepresentation
bin101110101010110100…
…0110100000100011001
3100120200120111211020201
41131111220310010121
53120223034311301
6114012500022201
710145366350054
oct1352550640431
9316616454221
10100221010201
113955a169364
121750b991961
1395b2541c00
144bca551a9b
152918844201
hex1755a34119

100221010201 has 12 divisors (see below), whose sum is σ = 109037709840. Its totient is φ = 92073224880.

The previous prime is 100221010093. The next prime is 100221010217. The reversal of 100221010201 is 102010122001.

It is not a de Polignac number, because 100221010201 - 225 = 100187455769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221010291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369611 + ... + 1440928.

It is an arithmetic number, because the mean of its divisors is an integer number (9086475820).

Almost surely, 2100221010201 is an apocalyptic number.

It is an amenable number.

100221010201 is a deficient number, since it is larger than the sum of its proper divisors (8816699639).

100221010201 is a wasteful number, since it uses less digits than its factorization.

100221010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810776 (or 2810763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100221010201 its reverse (102010122001), we get a palindrome (202231132202).

The spelling of 100221010201 in words is "one hundred billion, two hundred twenty-one million, ten thousand, two hundred one".

Divisors: 1 13 169 211 2743 35659 2810539 36537007 474981091 593023729 7709308477 100221010201