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10010200221021 = 37211131562930469
BaseRepresentation
bin1001000110101010111001…
…1011011010010101011101
31022102222002001202011120010
42101222232123122111131
52303001342224033041
633142342243113433
72052133043654100
oct221525633322535
938388061664503
1010010200221021
11320a336072050
121158063972879
13577c5b479770
142686d3ad0737
151255c56a0a16
hex91aae6da55d

10010200221021 has 96 divisors (see below), whose sum is σ = 18242130614400. Its totient is φ = 4799631352320.

The previous prime is 10010200221017. The next prime is 10010200221029. The reversal of 10010200221021 is 12012200201001.

It is not a de Polignac number, because 10010200221021 - 22 = 10010200221017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010200220988 and 10010200221006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010200221029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328521975 + ... + 328552443.

It is an arithmetic number, because the mean of its divisors is an integer number (190022193900).

Almost surely, 210010200221021 is an apocalyptic number.

10010200221021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010200221021 is a deficient number, since it is larger than the sum of its proper divisors (8231930393379).

10010200221021 is a wasteful number, since it uses less digits than its factorization.

10010200221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46139 (or 46132 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010200221021 its reverse (12012200201001), we get a palindrome (22022400422022).

The spelling of 10010200221021 in words is "ten trillion, ten billion, two hundred million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 15629 21021 30469 46887 91407 109403 171919 203177 213283 328209 335159 396097 515757 609531 639849 765821 1005477 1188291 1203433 1422239 1492981 2234947 2297463 2346113 2772679 3610299 4266717 4357067 4478943 6704841 7038339 8318037 8424031 9955673 13071201 15644629 16422791 19408753 25272093 29867019 30499469 46933887 49268373 58226259 91498407 109512403 213496283 328537209 476200001 640488849 1428600003 3333400007 5238200011 6190600013 10000200021 15714600033 18571800039 23333800049 36667400077 43334200091 68096600143 70001400147 110002200231 130002600273 204289800429 256671800539 303339400637 476676201001 770015401617 910018201911 1430028603003 3336733407007 10010200221021