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12102012110100 = 223521117826326107
BaseRepresentation
bin1011000000011011100000…
…1000100000010100010100
31120211221102000212020012110
42300012320020200110110
53041234410100010400
641423330531351020
72356225066441143
oct260067010402424
946757360766173
1012102012110100
113946486379010
12143554b452470
1369a2a4026803
142dba51d6b75a
1515ec03b10e50
hexb01b8220514

12102012110100 has 288 divisors, whose sum is σ = 40451756921856. Its totient is φ = 2760803481600.

The previous prime is 12102012110099. The next prime is 12102012110101. The reversal of 12102012110100 is 101121020121.

It is an interprime number because it is at equal distance from previous prime (12102012110099) and next prime (12102012110101).

It is a super-2 number, since 2×121020121101002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102012110101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463541247 + ... + 463567353.

It is an arithmetic number, because the mean of its divisors is an integer number (140457489312).

Almost surely, 212102012110100 is an apocalyptic number.

12102012110100 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 12102012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225878460928).

12102012110100 is an abundant number, since it is smaller than the sum of its proper divisors (28349744811756).

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

12102012110100 is a wasteful number, since it uses less digits than its factorization.

12102012110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34415 (or 34408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102012110100 its reverse (101121020121), we get a palindrome (12203133130221).

The spelling of 12102012110100 in words is "twelve trillion, one hundred two billion, twelve million, one hundred ten thousand, one hundred".