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121020202200100 = 22527224698000449
BaseRepresentation
bin11011100001000100110110…
…001010011010110000100100
3120212111102021222012120001211
4123201010312022122300210
5111330243333230400400
61105215525142401204
734330264266616600
oct3341046612326044
9525442258176054
10121020202200100
113561941a174045
12116a6638a30204
13526b204c47968
1421c55a2594500
15ded02e778dba
hex6e113629ac24

121020202200100 has 54 divisors (see below), whose sum is σ = 305489567566050. Its totient is φ = 41492640752640.

The previous prime is 121020202200077. The next prime is 121020202200101. The reversal of 121020202200100 is 1002202020121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41548647038976 + 79471555161124 = 6445824^2 + 8914682^2 .

It is not an unprimeable number, because it can be changed into a prime (121020202200101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12348995325 + ... + 12349005124.

Almost surely, 2121020202200100 is an apocalyptic number.

121020202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020202200100 is an abundant number, since it is smaller than the sum of its proper divisors (184469365365950).

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

121020202200100 is a wasteful number, since it uses less digits than its factorization.

121020202200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24698000477 (or 24698000463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121020202200100 its reverse (1002202020121), we get a palindrome (122022404220221).

The spelling of 121020202200100 in words is "one hundred twenty-one trillion, twenty billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 24698000449 49396000898 98792001796 123490002245 172886003143 246980004490 345772006286 493960008980 617450011225 691544012572 864430015715 1210202022001 1234900022450 1728860031430 2420404044002 2469800044900 3457720062860 4322150078575 4840808088004 6051010110005 8644300157150 12102020220010 17288600314300 24204040440020 30255050550025 60510101100050 121020202200100