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2001101220121 = 29293235506793
BaseRepresentation
bin11101000111101010111…
…011010110100100011001
321002022012011222121222111
4131013222323112210121
5230241223403020441
64131143155552321
7264401103502243
oct35075273264431
97068164877874
102001101220121
11701731519863
122839b08bb6a1
1311691a751503
146cbd4c29093
15370bea05081
hex1d1eaed6919

2001101220121 has 8 divisors (see below), whose sum is σ = 2077169923080. Its totient is φ = 1925503531392.

The previous prime is 2001101220077. The next prime is 2001101220161. The reversal of 2001101220121 is 1210221011002.

It can be written as a sum of positive squares in 4 ways, for example, as 1232568464521 + 768532755600 = 1110211^2 + 876660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001101220121 - 211 = 2001101218073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001101220161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117744900 + ... + 117761893.

It is an arithmetic number, because the mean of its divisors is an integer number (259646240385).

Almost surely, 22001101220121 is an apocalyptic number.

It is an amenable number.

2001101220121 is a deficient number, since it is larger than the sum of its proper divisors (76068702959).

2001101220121 is a wasteful number, since it uses less digits than its factorization.

2001101220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235507115.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001101220121 its reverse (1210221011002), we get a palindrome (3211322231123).

It can be divided in two parts, 2001101 and 220121, that added together give a palindrome (2221222).

The spelling of 2001101220121 in words is "two trillion, one billion, one hundred one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 29 293 8497 235506793 6829696997 69003490349 2001101220121