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121021120100 = 225231257151903
BaseRepresentation
bin111000010110101101…
…0111011111001100100
3102120101011120212221102
41300231122323321210
53440322401320400
6131332450335232
711513005355636
oct1605532737144
9376334525842
10121021120100
11473632a3831
121b55588a518
13b54890a74a
145c00bd0a56
1532349599d5
hex1c2d6bbe64

121021120100 has 72 divisors (see below), whose sum is σ = 272143915008. Its totient is φ = 46664294400.

The previous prime is 121021120091. The next prime is 121021120109. The reversal of 121021120100 is 1021120121.

It is an interprime number because it is at equal distance from previous prime (121021120091) and next prime (121021120109).

It is a super-2 number, since 2×1210211201002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121021120109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720749 + ... + 872651.

Almost surely, 2121021120100 is an apocalyptic number.

121021120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136071957504).

121021120100 is an abundant number, since it is smaller than the sum of its proper divisors (151122794908).

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

121021120100 is a wasteful number, since it uses less digits than its factorization.

121021120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152205 (or 152198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121021120100 its reverse (1021120121), we get a palindrome (122042240221).

The spelling of 121021120100 in words is "one hundred twenty-one billion, twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 257 310 514 620 775 1028 1285 1550 2570 3100 5140 6425 7967 12850 15934 25700 31868 39835 79670 151903 159340 199175 303806 398350 607612 759515 796700 1519030 3038060 3797575 4708993 7595150 9417986 15190300 18835972 23544965 39039071 47089930 78078142 94179860 117724825 156156284 195195355 235449650 390390710 470899300 780781420 975976775 1210211201 1951953550 2420422402 3903907100 4840844804 6051056005 12102112010 24204224020 30255280025 60510560050 121021120100