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1010101000221 = 323747713732437
BaseRepresentation
bin11101011001011101011…
…01100001100000011101
310120120020200020101212100
432230232231201200131
5113022141324001341
62052011201555313
7132656146560165
oct16545655414035
93516220211770
101010101000221
1135a421754965
12143920945b39
1374337b89b51
1436c63b7b5a5
151b41d4253b6
hexeb2eb6181d

1010101000221 has 96 divisors (see below), whose sum is σ = 1556703802368. Its totient is φ = 630274659840.

The previous prime is 1010101000189. The next prime is 1010101000231. The reversal of 1010101000221 is 1220001010101.

It is a happy number.

It is not a de Polignac number, because 1010101000221 - 25 = 1010101000189 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 (1010101000231) 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, 414484215 + ... + 414486651.

It is an arithmetic number, because the mean of its divisors is an integer number (16215664608).

Almost surely, 21010101000221 is an apocalyptic number.

It is an amenable number.

1010101000221 is a deficient number, since it is larger than the sum of its proper divisors (546602802147).

1010101000221 is a wasteful number, since it uses less digits than its factorization.

1010101000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2968 counting only the distinct ones).

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

Adding to 1010101000221 its reverse (1220001010101), we get a palindrome (2230102010322).

The spelling of 1010101000221 in words is "one trillion, ten billion, one hundred one million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 37 47 71 111 141 213 333 373 423 639 1119 1739 2437 2627 3337 3357 5217 7311 7881 10011 13801 15651 17531 21933 23643 26483 30033 41403 52593 79449 90169 114539 123469 124209 157779 173027 238347 270507 343617 370407 519081 648647 811521 909001 979871 1030851 1111221 1244701 1557243 1945941 2727003 2939613 3734103 4237943 5837823 6401999 8132269 8181009 8818839 11202309 12713829 19205997 24396807 33633037 38141487 42723047 46053937 57617991 64539071 73190421 100899111 128169141 138161811 193617213 300893953 302697333 384507423 414485433 580851639 902681859 1580752739 2387945627 2708045577 3033336337 4742258217 7163836881 9100009011 14226774651 21491510643 27300027033 112233444469 336700333407 1010101000221