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1001002110102 = 23423459758441
BaseRepresentation
bin11101001000100000110…
…00000000110010010110
310112200202120001220010000
432210100120000302112
5112400023020010402
62043504245112130
7132214523355561
oct16442030006226
93480676056100
101001002110102
11356582660065
121420016b8646
1373517a942b7
143663d5834d8
151b089712c1c
hexe910600c96

1001002110102 has 80 divisors (see below), whose sum is σ = 2341056544992. Its totient is φ = 319085205120.

The previous prime is 1001002110091. The next prime is 1001002110113. The reversal of 1001002110102 is 2010112001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001002110091) and next prime (1001002110113).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17099202 + ... + 17157642.

Almost surely, 21001002110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001002110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170528272496).

1001002110102 is an abundant number, since it is smaller than the sum of its proper divisors (1340054434890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001002110102 is a wasteful number, since it uses less digits than its factorization.

1001002110102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63075 (or 63066 counting only the distinct ones).

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

Adding to 1001002110102 its reverse (2010112001001), we get a palindrome (3011114111103).

The spelling of 1001002110102 in words is "one trillion, one billion, two million, one hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 4597 9194 13791 27582 41373 58441 82746 105731 116882 124119 175323 211462 248238 317193 350646 372357 525969 634386 744714 951579 1051938 1344143 1577907 1903158 2688286 2854737 3155814 4032429 4733721 5709474 8064858 8564211 9467442 12097287 17128422 24194574 36291861 72583722 108875583 217751166 268653277 537306554 805959831 1611919662 2417879493 4835758986 6179025371 7253638479 12358050742 14507276958 18537076113 21760915437 37074152226 43521830874 55611228339 111222456678 166833685017 333667370034 500501055051 1001002110102