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1002212100201 = 313171511632127
BaseRepresentation
bin11101001010110000111…
…11110000100001101001
310112210212212212202111010
432211120133300201221
5112410012244201301
62044224311254133
7132256515202524
oct16453037604151
93483785782433
101002212100201
1135704366a584
1214229a97a349
137367b675980
1436716153bbb
151b10aa735d6
hexe9587f0869

1002212100201 has 16 divisors (see below), whose sum is σ = 1523725185024. Its totient is φ = 580466736384.

The previous prime is 1002212100191. The next prime is 1002212100217. The reversal of 1002212100201 is 1020012122001.

1002212100201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002212100201 - 210 = 1002212099177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002212100251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755815401 + ... + 755816726.

It is an arithmetic number, because the mean of its divisors is an integer number (95232824064).

Almost surely, 21002212100201 is an apocalyptic number.

It is an amenable number.

1002212100201 is a deficient number, since it is larger than the sum of its proper divisors (521513084823).

1002212100201 is a wasteful number, since it uses less digits than its factorization.

1002212100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511632160.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002212100201 its reverse (1020012122001), we get a palindrome (2022224222202).

The spelling of 1002212100201 in words is "one trillion, two billion, two hundred twelve million, one hundred thousand, two hundred one".

Divisors: 1 3 13 17 39 51 221 663 1511632127 4534896381 19651217651 25697746159 58953652953 77093238477 334070700067 1002212100201