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11121202020100 = 2252111212020201
BaseRepresentation
bin1010000111010101101101…
…0010111011111100000100
31110101011202200122020101211
42201311123102323330010
52424202210204120400
635353002031301204
72225323516306444
oct241653322737404
943334680566354
1011121202020100
1135a852567a577
1212b744407a804
1362895665c203
142a63aa3b6124
1514444be48dba
hexa1d5b4bbf04

11121202020100 has 18 divisors (see below), whose sum is σ = 24133008383834. Its totient is φ = 4448480808000.

The previous prime is 11121202020043. The next prime is 11121202020101. The reversal of 11121202020100 is 102020212111.

It can be written as a sum of positive squares in 3 ways, for example, as 2794560829636 + 8326641190464 = 1671694^2 + 2885592^2 .

It is a super-2 number, since 2×111212020201002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11121202020101) 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 5 ways as a sum of consecutive naturals, for example, 55606010001 + ... + 55606010200.

Almost surely, 211121202020100 is an apocalyptic number.

11121202020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121202020100 is an abundant number, since it is smaller than the sum of its proper divisors (13011806363734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121202020100 is a wasteful number, since it uses less digits than its factorization.

11121202020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111212020215 (or 111212020208 counting only the distinct ones).

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

Adding to 11121202020100 its reverse (102020212111), we get a palindrome (11223222232211).

The spelling of 11121202020100 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111212020201 222424040402 444848080804 556060101005 1112120202010 2224240404020 2780300505025 5560601010050 11121202020100