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10221112020101 = 233114996210473
BaseRepresentation
bin1001010010111100100111…
…0000000100110010000101
31100012010110212111200101012
42110233021300010302011
52314430314134120401
633423303011012005
72103310453453313
oct224571160046205
940163425450335
1010221112020101
1132908272a9414
121190b0589a005
13591b01351188
142749c10830b3
1512ad1ba908bb
hex94bc9c04c85

10221112020101 has 16 divisors (see below), whose sum is σ = 11083446604800. Its totient is φ = 9397838904960.

The previous prime is 10221112020037. The next prime is 10221112020113. The reversal of 10221112020101 is 10102021112201.

It is not a de Polignac number, because 10221112020101 - 26 = 10221112020037 is a prime.

It is a super-3 number, since 3×102211120201013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221112020191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47999000 + ... + 48211473.

It is an arithmetic number, because the mean of its divisors is an integer number (692715412800).

Almost surely, 210221112020101 is an apocalyptic number.

It is an amenable number.

10221112020101 is a deficient number, since it is larger than the sum of its proper divisors (862334584699).

10221112020101 is a wasteful number, since it uses less digits than its factorization.

10221112020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96210676.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10221112020101 its reverse (10102021112201), we get a palindrome (20323133132302).

The spelling of 10221112020101 in words is "ten trillion, two hundred twenty-one billion, one hundred twelve million, twenty thousand, one hundred one".

Divisors: 1 23 31 149 713 3427 4619 106237 96210473 2212840879 2982524663 14335360477 68598067249 329713290971 444396174787 10221112020101