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1001010202101 = 3271319223288467
BaseRepresentation
bin11101001000100001101…
…10111000010111110101
310112200210010022000020200
432210100312320113311
5112400032102431401
62043505134351113
7132214652220450
oct16442066702765
93480703260220
101001010202101
11356587187768
1214200435b499
1373519668570
143664068c497
151b08a2b0686
hexe910db85f5

1001010202101 has 96 divisors (see below), whose sum is σ = 1881642147840. Its totient is φ = 497970778752.

The previous prime is 1001010202099. The next prime is 1001010202109. The reversal of 1001010202101 is 1012020101001.

It is a happy number.

It is not a de Polignac number, because 1001010202101 - 21 = 1001010202099 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 (1001010202109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3325870 + ... + 3614336.

It is an arithmetic number, because the mean of its divisors is an integer number (19600439040).

Almost surely, 21001010202101 is an apocalyptic number.

It is an amenable number.

1001010202101 is a deficient number, since it is larger than the sum of its proper divisors (880631945739).

1001010202101 is a wasteful number, since it uses less digits than its factorization.

1001010202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288735 (or 288732 counting only the distinct ones).

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

Adding to 1001010202101 its reverse (1012020101001), we get a palindrome (2013030303102).

The spelling of 1001010202101 in words is "one trillion, one billion, ten million, two hundred two thousand, one hundred one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 223 247 273 399 669 741 819 1197 1561 1729 2007 2223 2899 4237 4683 5187 8697 12711 14049 15561 20293 26091 29659 38133 55081 60879 88977 165243 182637 266931 288467 385567 495729 865401 1156701 2019269 2596203 3470103 3750071 5480873 6057807 11250213 16442619 18173421 26250497 33750639 38366111 49327857 64328141 71251349 78751491 115098333 192984423 213754047 236254473 345294999 450296987 498759443 578953269 641262141 836265833 1222234679 1350890961 1496278329 2508797499 3666704037 4052672883 4488834987 5853860831 7526392497 8555642753 11000112111 15889050827 17561582493 25666928259 47667152481 52684747479 77000784777 111223355789 143001457443 333670067367 1001010202101