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21211221210102 = 232711291231428693
BaseRepresentation
bin1001101001010100111110…
…10011100011001111110110
32210002202212110212011002100
410310222133103203033312
510240011040112210402
6113040144524122530
74316313556314120
oct464523723431766
983082773764070
1021211221210102
1168386a0441390
122466a63096446
13bab295598521
145348b2b9a210
1526bb44c5971c
hex134a9f4e33f6

21211221210102 has 192 divisors, whose sum is σ = 59321921218560. Its totient is φ = 5315094892800.

The previous prime is 21211221210031. The next prime is 21211221210169. The reversal of 21211221210102 is 20101212211212.

21211221210102 is a `hidden beast` number, since 21 + 211 + 221 + 210 + 1 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49264468 + ... + 49693160.

It is an arithmetic number, because the mean of its divisors is an integer number (308968339680).

Almost surely, 221211221210102 is an apocalyptic number.

21211221210102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211221210102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29660960609280).

21211221210102 is an abundant number, since it is smaller than the sum of its proper divisors (38110700008458).

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

21211221210102 is a wasteful number, since it uses less digits than its factorization.

21211221210102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429979 (or 429976 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21211221210102 its reverse (20101212211212), we get a palindrome (41312433421314).

The spelling of 21211221210102 in words is "twenty-one trillion, two hundred eleven billion, two hundred twenty-one million, two hundred ten thousand, one hundred two".