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102210212002221 = 3211356690222469
BaseRepresentation
bin10111001111010110101011…
…011000001111100110101101
3111101220012102102010112020200
4113033112223120033212231
5101344103003233032341
61001214420112304113
730346305223162461
oct2717265330174655
9441805372115220
10102210212002221
112a627120073614
12b569035242039
1345054c65b3c3b
141b35001b304a1
15bc3ac7509db6
hex5cf5ab60f9ad

102210212002221 has 6 divisors (see below), whose sum is σ = 147636972892110. Its totient is φ = 68140141334808.

The previous prime is 102210212002051. The next prime is 102210212002243. The reversal of 102210212002221 is 122200212012201.

It is a happy number.

102210212002221 is a `hidden beast` number, since 1 + 0 + 221 + 0 + 21 + 200 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92714656034025 + 9495555968196 = 9628845^2 + 3081486^2 .

It is a de Polignac number, because none of the positive numbers 2k-102210212002221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102210212002194 and 102210212002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210212012221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5678345111226 + ... + 5678345111243.

It is an arithmetic number, because the mean of its divisors is an integer number (24606162148685).

Almost surely, 2102210212002221 is an apocalyptic number.

It is an amenable number.

102210212002221 is a deficient number, since it is larger than the sum of its proper divisors (45426760889889).

102210212002221 is a wasteful number, since it uses less digits than its factorization.

102210212002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11356690222475 (or 11356690222472 counting only the distinct ones).

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

Adding to 102210212002221 its reverse (122200212012201), we get a palindrome (224410424014422).

The spelling of 102210212002221 in words is "one hundred two trillion, two hundred ten billion, two hundred twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 11356690222469 34070070667407 102210212002221