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21010100000000 = 2858210101
BaseRepresentation
bin1001100011011110010111…
…00011000001010100000000
32202101112201222211002110212
410301233023203001110000
510223212141100000000
6112403523502413252
74265633602245026
oct461571343012400
982345658732425
1021010100000000
116770373799471
122433a93b91228
13b95322bb0527
14528c73c18716
152667c315ec35
hex131bcb8c1500

21010100000000 has 162 divisors, whose sum is σ = 52422884292282. Its totient is φ = 8404000000000.

The previous prime is 21010099999997. The next prime is 21010100000003. The reversal of 21010100000000 is 101012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21010099999997) and next prime (21010100000003).

It can be written as a sum of positive squares in 9 ways, for example, as 2989192029184 + 18020907970816 = 1728928^2 + 4245104^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a self number, because there is not a number n which added to its sum of digits gives 21010100000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010100000003) 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, 99894950 + ... + 100105050.

Almost surely, 221010100000000 is an apocalyptic number.

21010100000000 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 21010100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211442146141).

21010100000000 is an abundant number, since it is smaller than the sum of its proper divisors (31412784292282).

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

21010100000000 is an frugal number, since it uses more digits than its factorization.

21010100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210157 (or 210108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 21010100000000 its reverse (101012), we get a palindrome (21010100101012).

The spelling of 21010100000000 in words is "twenty-one trillion, ten billion, one hundred million", and thus it is an aban number.