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1001200120101 = 32111244457789
BaseRepresentation
bin11101001000111000010…
…11010111000100100101
310112201021100122211202200
432210130023113010211
5112400424212320401
62043540041125113
7132222446414316
oct16443413270445
93481240584680
101001200120101
11356674403995
12142057a89799
1373549b0288c
143665b9a860d
151b09bcc7686
hexe91c2d7125

1001200120101 has 6 divisors (see below), whose sum is σ = 1446177951270. Its totient is φ = 667466746728.

The previous prime is 1001200120073. The next prime is 1001200120111. The reversal of 1001200120101 is 1010210021001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 789167499201 + 212032620900 = 888351^2 + 460470^2 .

It is not a de Polignac number, because 1001200120101 - 27 = 1001200119973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111244457789 = 1001200120101 / (1 + 0 + 0 + 1 + 2 + 0 + 0 + 1 + 2 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001200120111) 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 5 ways as a sum of consecutive naturals, for example, 55622228886 + ... + 55622228903.

It is an arithmetic number, because the mean of its divisors is an integer number (241029658545).

Almost surely, 21001200120101 is an apocalyptic number.

It is an amenable number.

1001200120101 is a deficient number, since it is larger than the sum of its proper divisors (444977831169).

1001200120101 is a wasteful number, since it uses less digits than its factorization.

1001200120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111244457795 (or 111244457792 counting only the distinct ones).

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

Adding to 1001200120101 its reverse (1010210021001), we get a palindrome (2011410141102).

The spelling of 1001200120101 in words is "one trillion, one billion, two hundred million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 111244457789 333733373367 1001200120101