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201001212222100 = 225210119901110121
BaseRepresentation
bin101101101100111100111101…
…110110101001101010010100
3222100200112021002001202011021
4231230330331312221222110
5202321200440312101400
61551254403202050524
760223600262635003
oct5554747566515224
9870615232052137
10201001212222100
1159055154232694
121a66346b349a44
13882044373acb4
14378c72105cc3a
151838781e5771a
hexb6cf3dda9a94

201001212222100 has 36 divisors (see below), whose sum is σ = 440491171440348. Its totient is φ = 79604440480000.

The previous prime is 201001212222073. The next prime is 201001212222101. The reversal of 201001212222100 is 1222212100102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42788788846596 + 158212423375504 = 6541314^2 + 12578252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001212222101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9950544961 + ... + 9950565160.

It is an arithmetic number, because the mean of its divisors is an integer number (12235865873343).

Almost surely, 2201001212222100 is an apocalyptic number.

201001212222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001212222100 is an abundant number, since it is smaller than the sum of its proper divisors (239489959218248).

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

201001212222100 is a wasteful number, since it uses less digits than its factorization.

201001212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19901110236 (or 19901110229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201001212222100 its reverse (1222212100102), we get a palindrome (202223424322202).

The spelling of 201001212222100 in words is "two hundred one trillion, one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 19901110121 39802220242 79604440484 99505550605 199011101210 398022202420 497527753025 995055506050 1990111012100 2010012122221 4020024244442 8040048488884 10050060611105 20100121222210 40200242444420 50250303055525 100500606111050 201001212222100