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10221222012201 = 3237103298003499
BaseRepresentation
bin1001010010111101000001…
…0011101010010100101001
31100012010202112110212011200
42110233100103222110221
52314431030313342301
633423321540314413
72103313260413064
oct224572023522451
940163675425150
1010221222012201
1132908833a5082
121190b366a2a09
13591b1b082a65
142749d19158db
1512ad2656ac86
hex94bd04ea529

10221222012201 has 24 divisors (see below), whose sum is σ = 15310227816000. Its totient is φ = 6565613067936.

The previous prime is 10221222012163. The next prime is 10221222012223. The reversal of 10221222012201 is 10221022212201.

It is a happy number.

10221222012201 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 220 + 1 + 220 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10221222012201 is a prime.

It is a super-3 number, since 3×102212220122013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221222012251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148967451 + ... + 149036048.

It is an arithmetic number, because the mean of its divisors is an integer number (637926159000).

Almost surely, 210221222012201 is an apocalyptic number.

It is an amenable number.

10221222012201 is a deficient number, since it is larger than the sum of its proper divisors (5089005803799).

10221222012201 is a wasteful number, since it uses less digits than its factorization.

10221222012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298003645 (or 298003642 counting only the distinct ones).

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

Adding to 10221222012201 its reverse (10221022212201), we get a palindrome (20442244224402).

The spelling of 10221222012201 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, twelve thousand, two hundred one".

Divisors: 1 3 9 37 103 111 309 333 927 3811 11433 34299 298003499 894010497 2682031491 11026129463 30694360397 33078388389 92083081191 99235165167 276249243573 1135691334689 3407074004067 10221222012201