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10221200201201 = 111954347546437
BaseRepresentation
bin1001010010111100111100…
…0000011101010111110001
31100012010201000102202002212
42110233033000131113301
52314431004222414301
633423315441021505
72103312604132133
oct224571700352761
940163630382085
1010221200201201
113290872058160
121190b2b324895
13591b166b7242
142749cca79053
1512ad246ad4bb
hex94bcf01d5f1

10221200201201 has 8 divisors (see below), whose sum is σ = 11150971011264. Its totient is φ = 9291524523120.

The previous prime is 10221200201159. The next prime is 10221200201221. The reversal of 10221200201201 is 10210200212201.

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 10221200201201 - 210 = 10221200200177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221200201221) 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, 23558246 + ... + 23988191.

It is an arithmetic number, because the mean of its divisors is an integer number (1393871376408).

Almost surely, 210221200201201 is an apocalyptic number.

10221200201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221200201201 is a deficient number, since it is larger than the sum of its proper divisors (929770810063).

10221200201201 is a wasteful number, since it uses less digits than its factorization.

10221200201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47565991.

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

Adding to 10221200201201 its reverse (10210200212201), we get a palindrome (20431400413402).

It can be divided in two parts, 10221200 and 201201, that added together give a palindrome (10422401).

The spelling of 10221200201201 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred one thousand, two hundred one".

Divisors: 1 11 19543 214973 47546437 523010807 929200018291 10221200201201