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1002222210101 = 71789974672089
BaseRepresentation
bin11101001010110010001…
…10010100110000110101
310112210220120220101122212
432211121012110300311
5112410022341210401
62044225312103205
7132260000140460
oct16453106246065
93483816811585
101002222210101
11357049345272
121422a2234b05
13736807a5568
14367176262d7
151b10b8bddbb
hexe959194c35

1002222210101 has 64 divisors (see below), whose sum is σ = 1242290649600. Its totient is φ = 789117272064.

The previous prime is 1002222210097. The next prime is 1002222210107. The reversal of 1002222210101 is 1010122222001.

It is a cyclic number.

It is not a de Polignac number, because 1002222210101 - 22 = 1002222210097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002222210107) 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 63 ways as a sum of consecutive naturals, for example, 479760665 + ... + 479762753.

It is an arithmetic number, because the mean of its divisors is an integer number (19410791400).

Almost surely, 21002222210101 is an apocalyptic number.

It is an amenable number.

1002222210101 is a deficient number, since it is larger than the sum of its proper divisors (240068439499).

1002222210101 is a wasteful number, since it uses less digits than its factorization.

1002222210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002222210101 its reverse (1010122222001), we get a palindrome (2012344432102).

The spelling of 1002222210101 in words is "one trillion, two billion, two hundred twenty-two million, two hundred ten thousand, one hundred one".

Divisors: 1 7 17 89 97 119 467 623 679 1513 1649 2089 3269 7939 8633 10591 11543 14623 35513 41563 45299 55573 60431 146761 185921 202633 248591 290941 317093 706571 770083 975563 1027327 1301447 1418431 3160657 3444761 4031611 4945997 5390581 6828941 16584571 18034337 22124599 24113327 28221277 68537387 86825107 94629611 116091997 126240359 306583729 479761709 607775749 662407277 1476026819 1608703387 2146086103 8422035379 10332187733 11260923709 58954247653 143174601443 1002222210101