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1001221200221 = 11181502873531
BaseRepresentation
bin11101001000111010110…
…11110001100101011101
310112201022211022211020212
432210131123301211131
5112401000111401341
62043542113022205
7132223123532354
oct16443533614535
93481284284225
101001221200221
113566852a1780
12142062b54965
13735512a3818
14366606d499b
151b09da8d5eb
hexe91d6f195d

1001221200221 has 8 divisors (see below), whose sum is σ = 1098275793888. Its totient is φ = 905172354000.

The previous prime is 1001221200157. The next prime is 1001221200289. The reversal of 1001221200221 is 1220021221001.

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 1001221200221 - 26 = 1001221200157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001221200196 and 1001221200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001221230221) 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, 251434775 + ... + 251438756.

It is an arithmetic number, because the mean of its divisors is an integer number (137284474236).

Almost surely, 21001221200221 is an apocalyptic number.

1001221200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001221200221 is a deficient number, since it is larger than the sum of its proper divisors (97054593667).

1001221200221 is a wasteful number, since it uses less digits than its factorization.

1001221200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502873723.

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

Adding to 1001221200221 its reverse (1220021221001), we get a palindrome (2221242421222).

The spelling of 1001221200221 in words is "one trillion, one billion, two hundred twenty-one million, two hundred thousand, two hundred twenty-one".

Divisors: 1 11 181 1991 502873531 5531608841 91020109111 1001221200221