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100222020100 = 22521002220201
BaseRepresentation
bin101110101010110110…
…0101010101000000100
3100120200122102010120101
41131111230222220010
53120223314120400
6114012533413444
710145411054266
oct1352554525004
9316618363511
10100222020100
113955a799094
121751019a284
1395b2806797
144bca735b36
15291899356a
hex1755b2aa04

100222020100 has 18 divisors (see below), whose sum is σ = 217481783834. Its totient is φ = 40088808000.

The previous prime is 100222020091. The next prime is 100222020109. The reversal of 100222020100 is 1020222001.

It is an interprime number because it is at equal distance from previous prime (100222020091) and next prime (100222020109).

It can be written as a sum of positive squares in 3 ways, for example, as 22465812996 + 77756207104 = 149886^2 + 278848^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100222020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501110001 + ... + 501110200.

Almost surely, 2100222020100 is an apocalyptic number.

100222020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222020100 is an abundant number, since it is smaller than the sum of its proper divisors (117259763734).

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

100222020100 is a wasteful number, since it uses less digits than its factorization.

100222020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002220215 (or 1002220208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100222020100 its reverse (1020222001), we get a palindrome (101242242101).

The spelling of 100222020100 in words is "one hundred billion, two hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1002220201 2004440402 4008880804 5011101005 10022202010 20044404020 25055505025 50111010050 100222020100