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101012222221002 = 23251239109521851
BaseRepresentation
bin10110111101111010111101…
…100111111001101011001010
3111020122200012110000010000200
4112331322331213321223022
5101214441012342033002
6554500212501513030
730163615014101541
oct2675727547715312
9436580173003020
10101012222221002
112a205052073664
12b3b4a18a12776
134449547610901
141ad30365a1158
15ba285e04eb1c
hex5bdebd9f9aca

101012222221002 has 24 divisors (see below), whose sum is σ = 218864088162720. Its totient is φ = 33670083301800.

The previous prime is 101012222220947. The next prime is 101012222221049. The reversal of 101012222221002 is 200122222210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 53838624 + ... + 55683227.

It is an arithmetic number, because the mean of its divisors is an integer number (9119337006780).

Almost surely, 2101012222221002 is an apocalyptic number.

101012222221002 is an abundant number, since it is smaller than the sum of its proper divisors (117851865941718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012222221002 is a wasteful number, since it uses less digits than its factorization.

101012222221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109573098 (or 109573095 counting only the distinct ones).

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

Adding to 101012222221002 its reverse (200122222210101), we get a palindrome (301134444431103).

The spelling of 101012222221002 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 51239 102478 153717 307434 461151 922302 109521851 219043702 328565553 657131106 985696659 1971393318 5611790123389 11223580246778 16835370370167 33670740740334 50506111110501 101012222221002