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10212221100 = 2235247711012
BaseRepresentation
bin10011000001011001…
…00010000010101100
3222100201002120202010
421200230202002230
5131403312033400
64405203201220
7511032306234
oct114054420254
928321076663
1010212221100
114370594954
121b90076210
13c699632a3
146cc406cc4
153eb82d450
hex260b220ac

10212221100 has 216 divisors, whose sum is σ = 30907021824. Its totient is φ = 2601760000.

The previous prime is 10212221081. The next prime is 10212221119. The reversal of 10212221100 is 112221201.

It is an interprime number because it is at equal distance from previous prime (10212221081) and next prime (10212221119).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101111050 + ... + 101111150.

It is an arithmetic number, because the mean of its divisors is an integer number (143088064).

Almost surely, 210212221100 is an apocalyptic number.

10212221100 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 10212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453510912).

10212221100 is an abundant number, since it is smaller than the sum of its proper divisors (20694800724).

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

10212221100 is a wasteful number, since it uses less digits than its factorization.

10212221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212221100 its reverse (112221201), we get a palindrome (10324442301).

The spelling of 10212221100 in words is "ten billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".