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101101001222011 = 766140135444861
BaseRepresentation
bin10110111111001101101001…
…010000111010011101111011
3111020222011100121100122102011
4112333031221100322131323
5101222414322303101021
6555005054143550351
730203210026130350
oct2677155120723573
9436864317318364
10101101001222011
112a23976a54607a
12b40a0748bb3b7
134454a2549867b
141ad7459264627
15ba4d080e3de1
hex5bf36943a77b

101101001222011 has 16 divisors (see below), whose sum is σ = 115747660456128. Its totient is φ = 86505322147200.

The previous prime is 101101001222009. The next prime is 101101001222057. The reversal of 101101001222011 is 110222100101101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101101001222011 - 21 = 101101001222009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101001221982 and 101101001222000.

It is not an unprimeable number, because it can be changed into a prime (101101001222071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15845721 + ... + 21290581.

It is an arithmetic number, because the mean of its divisors is an integer number (7234228778508).

Almost surely, 2101101001222011 is an apocalyptic number.

101101001222011 is a deficient number, since it is larger than the sum of its proper divisors (14646659234117).

101101001222011 is an equidigital number, since it uses as much as digits as its factorization.

101101001222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5449542.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101001222011 its reverse (110222100101101), we get a palindrome (211323101323112).

The spelling of 101101001222011 in words is "one hundred one trillion, one hundred one billion, one million, two hundred twenty-two thousand, eleven".

Divisors: 1 7 661 4013 4627 28091 2652593 5444861 18568151 38114027 3599053121 21850227193 25193371847 152951590351 14443000174573 101101001222011