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1001001202101 = 321783589713367
BaseRepresentation
bin11101001000100000101…
…00100011000110110101
310112200202111100202120100
432210100110203012311
5112400022301431401
62043504213424313
7132214512554415
oct16442024430665
93480674322510
101001001202101
1135658209a94a
1214200133b099
1373517836c14
143663d3c8645
151b0895d3b86
hexe9105231b5

1001001202101 has 48 divisors (see below), whose sum is σ = 1549766784384. Its totient is φ = 620360328192.

The previous prime is 1001001202093. The next prime is 1001001202139. The reversal of 1001001202101 is 1012021001001.

It is a happy number.

It is not a de Polignac number, because 1001001202101 - 23 = 1001001202093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74879320 + ... + 74892686.

It is an arithmetic number, because the mean of its divisors is an integer number (32286808008).

Almost surely, 21001001202101 is an apocalyptic number.

It is an amenable number.

1001001202101 is a deficient number, since it is larger than the sum of its proper divisors (548765582283).

1001001202101 is a wasteful number, since it uses less digits than its factorization.

1001001202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19370 (or 19367 counting only the distinct ones).

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

Adding to 1001001202101 its reverse (1012021001001), we get a palindrome (2013022203102).

The spelling of 1001001202101 in words is "one trillion, one billion, one million, two hundred two thousand, one hundred one".

Divisors: 1 3 9 17 51 83 153 249 747 1411 4233 5897 12699 13367 17691 40101 53073 100249 120303 227239 300747 489451 681717 902241 1109461 1468353 2045151 3328383 4405059 8320667 9985149 18860837 24962001 56582511 74886003 78825199 169747533 236475597 709426791 1340028383 4020085149 6542491517 12060255447 19627474551 58882423653 111222355789 333667067367 1001001202101