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2222021100100 = 225222220211001
BaseRepresentation
bin100000010101011010110…
…001110100001001000100
321212102102110201022211111
4200111122301310021010
5242401144400200400
64420440555414404
7316351516501054
oct40253261641104
97772373638744
102222021100100
11787398a8a46a
122ba786454404
131316c6bb2599
1479791445564
153cbee84c3ba
hex2055ac74244

2222021100100 has 18 divisors (see below), whose sum is σ = 4821785787434. Its totient is φ = 888808440000.

The previous prime is 2222021100049. The next prime is 2222021100109. The reversal of 2222021100100 is 10011202222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 650422894144 + 1571598205956 = 806488^2 + 1253634^2 .

It is a super-2 number, since 2×22220211001002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2222021100109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11110105401 + ... + 11110105600.

Almost surely, 22222021100100 is an apocalyptic number.

2222021100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222021100100 is an abundant number, since it is smaller than the sum of its proper divisors (2599764687334).

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

2222021100100 is a wasteful number, since it uses less digits than its factorization.

2222021100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22220211015 (or 22220211008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2222021100100 its reverse (10011202222), we get a palindrome (2232032302322).

The spelling of 2222021100100 in words is "two trillion, two hundred twenty-two billion, twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22220211001 44440422002 88880844004 111101055005 222202110010 444404220020 555505275025 1111010550050 2222021100100