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1000222200101 = 4018641288661
BaseRepresentation
bin11101000111000011110…
…00111001000100100101
310112121202012112100201102
432203201320321010211
5112341423340400401
62043255025005445
7132156303264515
oct16434170710445
93477665470642
101000222200101
113562123a1143
12141a24483885
13734223267a7
14365a7b67845
151b04100856b
hexe8e1e39125

1000222200101 has 8 divisors (see below), whose sum is σ = 1002836035608. Its totient is φ = 997608960000.

The previous prime is 1000222200077. The next prime is 1000222200121. The reversal of 1000222200101 is 1010022220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 229250397601 + 770971802500 = 478801^2 + 878050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000222200101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000222200121) 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 7 ways as a sum of consecutive naturals, for example, 3320711 + ... + 3609371.

It is an arithmetic number, because the mean of its divisors is an integer number (125354504451).

Almost surely, 21000222200101 is an apocalyptic number.

It is an amenable number.

1000222200101 is a deficient number, since it is larger than the sum of its proper divisors (2613835507).

1000222200101 is an equidigital number, since it uses as much as digits as its factorization.

1000222200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297703.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1000222200101 its reverse (1010022220001), we get a palindrome (2010244420102).

The spelling of 1000222200101 in words is "one trillion, two hundred twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 401 8641 288661 3465041 115753061 2494319701 1000222200101