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10020110100021 = 3272572002130911
BaseRepresentation
bin1001000111001111110100…
…0110100110011000110101
31022110220122200221011220200
42101303331012212120311
52303132141141200041
633151101450151113
72052633445360440
oct221637506463065
938426580834820
1010020110100021
113213560a2289a
121159b6a722499
13578b7a5a1ba8
14268d93cb4657
151259a56ab1b6
hex91cfd1a6635

10020110100021 has 48 divisors (see below), whose sum is σ = 16606863157248. Its totient is φ = 5703028531200.

The previous prime is 10020110100017. The next prime is 10020110100031. The reversal of 10020110100021 is 12000101102001.

It is a happy number.

It is not a de Polignac number, because 10020110100021 - 22 = 10020110100017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020110099976 and 10020110100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020110100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324144556 + ... + 324175466.

It is an arithmetic number, because the mean of its divisors is an integer number (345976315776).

Almost surely, 210020110100021 is an apocalyptic number.

It is an amenable number.

10020110100021 is a deficient number, since it is larger than the sum of its proper divisors (6586753057227).

10020110100021 is a wasteful number, since it uses less digits than its factorization.

10020110100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51202 (or 51199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10020110100021 its reverse (12000101102001), we get a palindrome (22020211202022).

The spelling of 10020110100021 in words is "ten trillion, twenty billion, one hundred ten million, one hundred thousand, twenty-one".

Divisors: 1 3 7 9 21 63 257 771 1799 2313 5397 16191 20021 30911 60063 92733 140147 180189 216377 278199 420441 649131 1261323 1947393 5145397 7944127 15436191 23832381 36017779 46308573 55608889 71497143 108053337 166826667 324160011 500480001 618869131 1856607393 4332083917 5569822179 12996251751 38988755253 159049366667 477148100001 1113345566669 1431444300003 3340036700007 10020110100021