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1000122010101 = 32521213291109
BaseRepresentation
bin11101000110110111110…
…10101100100111110101
310112121111020000011212200
432203123322230213311
5112341222213310401
62043241045335113
7132153645551424
oct16433372544765
93477436004780
101000122010101
1135617088a995
121419b6a07499
1373407647676
14365987272bb
151b037317686
hexe8dbeac9f5

1000122010101 has 12 divisors (see below), whose sum is σ = 1447393472460. Its totient is φ = 665468256960.

The previous prime is 1000122010099. The next prime is 1000122010183. The reversal of 1000122010101 is 1010102210001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 328707288900 + 671414721201 = 573330^2 + 819399^2 .

It is not a de Polignac number, because 1000122010101 - 21 = 1000122010099 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 (1000122010001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106640866 + ... + 106650243.

It is an arithmetic number, because the mean of its divisors is an integer number (120616122705).

Almost surely, 21000122010101 is an apocalyptic number.

It is an amenable number.

1000122010101 is a deficient number, since it is larger than the sum of its proper divisors (447271462359).

1000122010101 is a wasteful number, since it uses less digits than its factorization.

1000122010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213291636 (or 213291633 counting only the distinct ones).

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

Adding to 1000122010101 its reverse (1010102210001), we get a palindrome (2010224220102).

The spelling of 1000122010101 in words is "one trillion, one hundred twenty-two million, ten thousand, one hundred one".

Divisors: 1 3 9 521 1563 4689 213291109 639873327 1919619981 111124667789 333374003367 1000122010101