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1020201210001 = 29142924618161
BaseRepresentation
bin11101101100010001011…
…10110001000010010001
310121112022120120012222001
432312020232301002101
5113203333002210001
62100401324314001
7133464352130011
oct16661056610221
93545276505861
101020201210001
11363734a93a76
1214587b3a2901
137528756243c
1437541347c41
151b80eeca001
hexed88bb1091

1020201210001 has 8 divisors (see below), whose sum is σ = 1056119149800. Its totient is φ = 984332509440.

The previous prime is 1020201209987. The next prime is 1020201210019. The reversal of 1020201210001 is 1000121020201.

It can be written as a sum of positive squares in 4 ways, for example, as 10580179600 + 1009621030401 = 102860^2 + 1004799^2 .

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 1020201210001 - 27 = 1020201209873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020201210001.

It is not an unprimeable number, because it can be changed into a prime (1020201214001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12267640 + ... + 12350521.

It is an arithmetic number, because the mean of its divisors is an integer number (132014893725).

Almost surely, 21020201210001 is an apocalyptic number.

It is an amenable number.

1020201210001 is a deficient number, since it is larger than the sum of its proper divisors (35917939799).

1020201210001 is a wasteful number, since it uses less digits than its factorization.

1020201210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24619619.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020201210001 its reverse (1000121020201), we get a palindrome (2020322230202).

The spelling of 1020201210001 in words is "one trillion, twenty billion, two hundred one million, two hundred ten thousand, one".

Divisors: 1 29 1429 41441 24618161 713926669 35179352069 1020201210001