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221212100010100 = 22522212121000101
BaseRepresentation
bin110010010011000011110100…
…101001000010000001110100
31002000020200002121002212121211
4302103003310221002001310
5212443314340100310400
62102251234045251204
764411022025413023
oct6223036451020164
91060220077085554
10221212100010100
1164537585517121
1220988478863b04
13965829993a3b4
143c8aa193bc8ba
151a8937b038dba
hexc930f4a42074

221212100010100 has 18 divisors (see below), whose sum is σ = 480030257022134. Its totient is φ = 88484840004000.

The previous prime is 221212100010079. The next prime is 221212100010113. The reversal of 221212100010100 is 1010001212122.

It can be written as a sum of positive squares in 3 ways, for example, as 6702858864144 + 214509241145956 = 2588988^2 + 14646134^2 .

It is a congruent number.

It is an unprimeable number.

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, 1106060499951 + ... + 1106060500150.

Almost surely, 2221212100010100 is an apocalyptic number.

221212100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221212100010100 is an abundant number, since it is smaller than the sum of its proper divisors (258818157012034).

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

221212100010100 is a wasteful number, since it uses less digits than its factorization.

221212100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212121000115 (or 2212121000108 counting only the distinct ones).

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

Adding to 221212100010100 its reverse (1010001212122), we get a palindrome (222222101222222).

The spelling of 221212100010100 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2212121000101 4424242000202 8848484000404 11060605000505 22121210001010 44242420002020 55303025002525 110606050005050 221212100010100