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100021122102 = 231113944324611
BaseRepresentation
bin101110100100110111…
…0010011010000110110
3100120011122101110022210
41131021232103100312
53114320401401402
6113540555434250
710140421336656
oct1351156232066
9316148343283
10100021122102
1139467352490
1217474a55986
13957ccc6825
144babb9c366
15290600d06c
hex1749b93436

100021122102 has 64 divisors (see below), whose sum is σ = 220302996480. Its totient is φ = 30022231200.

The previous prime is 100021122073. The next prime is 100021122109. The reversal of 100021122102 is 201221120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100021122109) 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 31 ways as a sum of consecutive naturals, for example, 4051777 + ... + 4076387.

It is an arithmetic number, because the mean of its divisors is an integer number (3442234320).

Almost surely, 2100021122102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110151498240).

100021122102 is an abundant number, since it is smaller than the sum of its proper divisors (120281874378).

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

100021122102 is a wasteful number, since it uses less digits than its factorization.

100021122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25209.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021122102 its reverse (201221120001), we get a palindrome (301242242103).

The spelling of 100021122102 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 443 834 886 1329 1529 2658 3058 4587 4873 9174 9746 14619 24611 29238 49222 61577 73833 123154 147666 184731 270721 369462 541442 677347 812163 1354694 1624326 2032041 3420929 4064082 6841858 10262787 10902673 20525574 21805346 32708019 37630219 65416038 75260438 112890657 119929403 225781314 239858806 359788209 719576418 1515471547 3030943094 4546414641 9092829282 16670187017 33340374034 50010561051 100021122102