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1000200121101 = 32232210081941
BaseRepresentation
bin11101000111000001001…
…00101010101100001101
310112121200122222122000200
432203200210222230031
5112341402212333401
62043252515444113
7132155614516326
oct16434044525415
93477618878020
101000200121101
11356200990935
12141a18bb6639
137341a895cac
14365a4c5b44d
151b03e0e6686
hexe8e092ab0d

1000200121101 has 18 divisors (see below), whose sum is σ = 1510279081038. Its totient is φ = 637808769840.

The previous prime is 1000200121073. The next prime is 1000200121153. The reversal of 1000200121101 is 1011210020001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 940368515076 + 59831606025 = 969726^2 + 244605^2 .

It is not a de Polignac number, because 1000200121101 - 25 = 1000200121069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000200125101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 105036210 + ... + 105045731.

It is an arithmetic number, because the mean of its divisors is an integer number (83904393391).

Almost surely, 21000200121101 is an apocalyptic number.

It is an amenable number.

1000200121101 is a deficient number, since it is larger than the sum of its proper divisors (510078959937).

1000200121101 is a wasteful number, since it uses less digits than its factorization.

1000200121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210081993 (or 210081967 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000200121101 its reverse (1011210020001), we get a palindrome (2011410141102).

The spelling of 1000200121101 in words is "one trillion, two hundred million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 23 69 207 529 1587 4761 210081941 630245823 1890737469 4831884643 14495653929 43486961787 111133346789 333400040367 1000200121101