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120221201022100 = 225210931099919497
BaseRepresentation
bin11011010101011100101101…
…111110110011110010010100
3120202200000221012112020021121
4123111130231332303302110
5111224201004430201400
61103404505102253324
734215460301641213
oct3325345576636224
9522600835466247
10120221201022100
11353405858a9082
1211597810b87244
135210a6cbb5229
142198a46b5107a
15dd7368ed421a
hex6d572dfb3c94

120221201022100 has 36 divisors (see below), whose sum is σ = 261118688986204. Its totient is φ = 48044483585280.

The previous prime is 120221201022061. The next prime is 120221201022101. The reversal of 120221201022100 is 1220102122021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 32561311887504 + 87659889134596 = 5706252^2 + 9362686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221201022101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549850449 + ... + 550069048.

Almost surely, 2120221201022100 is an apocalyptic number.

120221201022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221201022100 is an abundant number, since it is smaller than the sum of its proper divisors (140897487964104).

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

120221201022100 is a wasteful number, since it uses less digits than its factorization.

120221201022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099920604 (or 1099920597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221201022100 its reverse (1220102122021), we get a palindrome (121441303144121).

The spelling of 120221201022100 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred one million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1093 2186 4372 5465 10930 21860 27325 54650 109300 1099919497 2199838994 4399677988 5499597485 10999194970 21998389940 27497987425 54995974850 109991949700 1202212010221 2404424020442 4808848040884 6011060051105 12022120102210 24044240204420 30055300255525 60110600511050 120221201022100