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10020201022111 = 75985728310371
BaseRepresentation
bin1001000111010000001010…
…0001011100001010011111
31022110220220001000111120111
42101310002201130022133
52303132332430201421
633151114455030451
72052635631243430
oct221640241341237
938426801014514
1010020201022111
1132135a8283a15
121159b9506b427
13578b93387747
14268da1dc1487
151259ad66aee1
hex91d0285c29f

10020201022111 has 16 divisors (see below), whose sum is σ = 11659343604480. Its totient is φ = 8433319498560.

The previous prime is 10020201022103. The next prime is 10020201022141. The reversal of 10020201022111 is 11122010202001.

It is a cyclic number.

It is not a de Polignac number, because 10020201022111 - 23 = 10020201022103 is a prime.

It is a super-2 number, since 2×100202010221112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10020201022091 and 10020201022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020201022141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13801245 + ... + 14509126.

It is an arithmetic number, because the mean of its divisors is an integer number (728708975280).

Almost surely, 210020201022111 is an apocalyptic number.

10020201022111 is a deficient number, since it is larger than the sum of its proper divisors (1639142582369).

10020201022111 is an equidigital number, since it uses as much as digits as its factorization.

10020201022111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28311294.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10020201022111 its reverse (11122010202001), we get a palindrome (21142211224112).

The spelling of 10020201022111 in words is "ten trillion, twenty billion, two hundred one million, twenty-two thousand, one hundred eleven".

Divisors: 1 7 59 413 857 5999 50563 353941 28310371 198172597 1670311889 11692183223 24261987947 169833915629 1431457288873 10020201022111