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21102212102202 = 232711293122942281
BaseRepresentation
bin1001100110001001111011…
…10110110011100000111010
32202201100111102222201010200
410303010331312303200322
510231214312244232302
6112514120012423030
74305404326221660
oct463047566634072
982640442881120
1021102212102202
1167a6441664170
122449900177a76
13ba0c1246a00a
1452d4d1432c30
15268db4b4481c
hex13313ddb383a

21102212102202 has 192 divisors, whose sum is σ = 57245823048960. Its totient is φ = 5457813580800.

The previous prime is 21102212102189. The next prime is 21102212102227. The reversal of 21102212102202 is 20220121220112.

It is a happy number.

21102212102202 is a `hidden beast` number, since 2 + 1 + 10 + 221 + 210 + 220 + 2 = 666.

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

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, 499073302 + ... + 499115582.

It is an arithmetic number, because the mean of its divisors is an integer number (298155328380).

Almost surely, 221102212102202 is an apocalyptic number.

21102212102202 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 21102212102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622911524480).

21102212102202 is an abundant number, since it is smaller than the sum of its proper divisors (36143610946758).

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

21102212102202 is a wasteful number, since it uses less digits than its factorization.

21102212102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43829 (or 43826 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21102212102202 its reverse (20220121220112), we get a palindrome (41322333322314).

The spelling of 21102212102202 in words is "twenty-one trillion, one hundred two billion, two hundred twelve million, one hundred two thousand, two hundred two".