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212110021021100 = 225219229439461521
BaseRepresentation
bin110000001110100110110110…
…011101001100110110101100
31000211000112001001200010021012
4300032212312131030312230
5210300202310340133400
62031041555355524352
762451305024511506
oct6016466635146654
91024015031603235
10212110021021100
116164839a195774
121b958414a596b8
139147b73628787
143a542734d8d76
15197c705d5ad35
hexc0e9b674cdac

212110021021100 has 216 divisors, whose sum is σ = 503675758000800. Its totient is φ = 77429911910400.

The previous prime is 212110021021097. The next prime is 212110021021121. The reversal of 212110021021100 is 1120120011212.

It is a super-2 number, since 2×2121100210211002 (a number of 29 digits) contains 22 as substring.

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, 459358340 + ... + 459819860.

Almost surely, 2212110021021100 is an apocalyptic number.

212110021021100 is a gapful number since it is divisible by the number (20) 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 212110021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251837879000400).

212110021021100 is an abundant number, since it is smaller than the sum of its proper divisors (291565736979700).

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

212110021021100 is a wasteful number, since it uses less digits than its factorization.

212110021021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462041 (or 462015 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212110021021100 its reverse (1120120011212), we get a palindrome (213230141032312).

The spelling of 212110021021100 in words is "two hundred twelve trillion, one hundred ten billion, twenty-one million, twenty-one thousand, one hundred".