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122221210200100 = 225211179816179311
BaseRepresentation
bin11011110010100011010111…
…110100010110100000100100
3121000202020022021122101002121
4123302203113310112200210
5112004433014302400400
61111535352052115324
734513122345313264
oct3362432764264044
9530666267571077
10122221210200100
1135a417a6948490
121185b358005b44
135327545310c6b
14222777690d7a4
15e1e3c2bc621a
hex6f28d7d16824

122221210200100 has 72 divisors (see below), whose sum is σ = 289347075351936. Its totient is φ = 44441597520000.

The previous prime is 122221210200059. The next prime is 122221210200109. The reversal of 122221210200100 is 1002012122221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122221210200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16689445 + ... + 22868755.

It is an arithmetic number, because the mean of its divisors is an integer number (4018709379888).

Almost surely, 2122221210200100 is an apocalyptic number.

122221210200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221210200100 is an abundant number, since it is smaller than the sum of its proper divisors (167125865151836).

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

122221210200100 is a wasteful number, since it uses less digits than its factorization.

122221210200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197317 (or 6197310 counting only the distinct ones).

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

Adding to 122221210200100 its reverse (1002012122221), we get a palindrome (123223222322321).

The spelling of 122221210200100 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, two hundred ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 17981 35962 71924 89905 179810 197791 359620 395582 449525 791164 899050 988955 1798100 1977910 3955820 4944775 6179311 9889550 12358622 19779100 24717244 30896555 61793110 67972421 123586220 135944842 154482775 271889684 308965550 339862105 617931100 679724210 1359448420 1699310525 3398621050 6797242100 111110191091 222220382182 444440764364 555550955455 1111101910910 1222212102001 2222203821820 2444424204002 2777754777275 4888848408004 5555509554550 6111060510005 11111019109100 12222121020010 24444242040020 30555302550025 61110605100050 122221210200100