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100222000002001 is a prime number
BaseRepresentation
bin10110110010011011000000…
…101101010111001111010001
3111010212010111111111010000001
4112302123000231113033101
5101114014124000031001
6553053203505130001
730052541406053623
oct2662330055271721
9433763444433001
10100222000002001
1129a2aa03245509
12b2a7841029901
1343bcb812b7c87
141aa6ab0a74c13
15b8c00e373001
hex5b26c0b573d1

100222000002001 has 2 divisors, whose sum is σ = 100222000002002. Its totient is φ = 100222000002000.

The previous prime is 100222000001987. The next prime is 100222000002073. The reversal of 100222000002001 is 100200000222001.

Adding to 100222000002001 its reverse (100200000222001), we get a palindrome (200422000224002).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98263623665601 + 1958376336400 = 9912801^2 + 1399420^2 .

It is a cyclic number.

It is not a de Polignac number, because 100222000002001 - 227 = 100221865784273 is a prime.

It is not a weakly prime, because it can be changed into another prime (100222000102001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111000001000 + 50111000001001.

It is an arithmetic number, because the mean of its divisors is an integer number (50111000001001).

Almost surely, 2100222000002001 is an apocalyptic number.

It is an amenable number.

100222000002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222000002001 is an equidigital number, since it uses as much as digits as its factorization.

100222000002001 is an evil number, because the sum of its binary digits is even.

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

The spelling of 100222000002001 in words is "one hundred trillion, two hundred twenty-two billion, two thousand, one".