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1002020101201 = 731101107427279
BaseRepresentation
bin11101001010011010000…
…11010101110001010001
310112210101111121012101001
432211031003111301101
5112404114121214301
62044153252142001
7132251664220630
oct16451503256121
93483344535331
101002020101201
11356a55251919
12142246607901
137364a9603b2
14366d8855517
151b0e8c99c01
hexe94d0d5c51

1002020101201 has 32 divisors (see below), whose sum is σ = 1204970618880. Its totient is φ = 815246424000.

The previous prime is 1002020101157. The next prime is 1002020101297. The reversal of 1002020101201 is 1021010202001.

It is a cyclic number.

It is not a de Polignac number, because 1002020101201 - 227 = 1001885883473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1002020161201) 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 31 ways as a sum of consecutive naturals, for example, 2131480 + ... + 2558758.

It is an arithmetic number, because the mean of its divisors is an integer number (37655331840).

Almost surely, 21002020101201 is an apocalyptic number.

It is an amenable number.

1002020101201 is a deficient number, since it is larger than the sum of its proper divisors (202950517679).

1002020101201 is a wasteful number, since it uses less digits than its factorization.

1002020101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427525.

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

Adding to 1002020101201 its reverse (1021010202001), we get a palindrome (2023030303202).

The spelling of 1002020101201 in words is "one trillion, two billion, twenty million, one hundred one thousand, two hundred one".

Divisors: 1 7 31 101 107 217 707 749 3131 3317 10807 21917 23219 75649 335017 427279 2345119 2990953 13245649 43155179 45718853 92719543 302086253 320031971 1337810549 1417284443 4617604153 9364673843 9920991101 32323229071 143145728743 1002020101201