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1002202120201 = 12171321623393
BaseRepresentation
bin11101001010101111110…
…01101100000000001001
310112210212012002201111111
432211113321230000021
5112410002220321301
62044223313330321
7132256334315362
oct16452771540011
93483765081444
101002202120201
11357038a73447
121422975669a1
1373679590249
1436714ab6b69
151b109c51551
hexe957e6c009

1002202120201 has 8 divisors (see below), whose sum is σ = 1003786525224. Its totient is φ = 1000618967040.

The previous prime is 1002202120187. The next prime is 1002202120207. The reversal of 1002202120201 is 1020212022001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 278809344576 + 723392775625 = 528024^2 + 850525^2 .

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 1002202120201 - 211 = 1002202118153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002202120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1295961 + ... + 1919353.

It is an arithmetic number, because the mean of its divisors is an integer number (125473315653).

Almost surely, 21002202120201 is an apocalyptic number.

It is an amenable number.

1002202120201 is a deficient number, since it is larger than the sum of its proper divisors (1584405023).

1002202120201 is a wasteful number, since it uses less digits than its factorization.

1002202120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625931.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002202120201 its reverse (1020212022001), we get a palindrome (2022414142202).

The spelling of 1002202120201 in words is "one trillion, two billion, two hundred two million, one hundred twenty thousand, two hundred one".

Divisors: 1 1217 1321 623393 1607657 758669281 823502153 1002202120201