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100221121100 = 22521002211211
BaseRepresentation
bin101110101010110100…
…1001111001001001100
3100120200120201110101002
41131111221033021030
53120223101333400
6114012502235432
710145400321302
oct1352551171114
9316616643332
10100221121100
113955a234711
121750ba25b78
1395b2580529
144bca580272
152918866ed5
hex1755a4f24c

100221121100 has 18 divisors (see below), whose sum is σ = 217479833004. Its totient is φ = 40088448400.

The previous prime is 100221121057. The next prime is 100221121103. The reversal of 100221121100 is 1121122001.

It is a super-2 number, since 2×1002211211002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221121103) 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 5 ways as a sum of consecutive naturals, for example, 501105506 + ... + 501105705.

Almost surely, 2100221121100 is an apocalyptic number.

100221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221121100 is an abundant number, since it is smaller than the sum of its proper divisors (117258711904).

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

100221121100 is a wasteful number, since it uses less digits than its factorization.

100221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002211225 (or 1002211218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221121100 its reverse (1121122001), we get a palindrome (101342243101).

Subtracting from 100221121100 its reverse (1121122001), we obtain a palindrome (99099999099).

The spelling of 100221121100 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1002211211 2004422422 4008844844 5011056055 10022112110 20044224220 25055280275 50110560550 100221121100