Search a number
-
+
100220212000001 is a prime number
BaseRepresentation
bin10110110010011001010110…
…001000101011010100000001
3111010211221212220001012100202
4112302121112020223110001
5101114001443233000001
6553052310234054545
730052446165230042
oct2662312610532401
9433757786035322
10100220212000001
1129a2a175a36105
12b2a742227a455
1343bc957a39022
141aa69814028c9
15b8be573d996b
hex5b265622b501

100220212000001 has 2 divisors, whose sum is σ = 100220212000002. Its totient is φ = 100220212000000.

The previous prime is 100220211999977. The next prime is 100220212000049. The reversal of 100220212000001 is 100000212022001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97264566798400 + 2955645201601 = 9862280^2 + 1719199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100220212000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100220212000081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110106000000 + 50110106000001.

It is an arithmetic number, because the mean of its divisors is an integer number (50110106000001).

Almost surely, 2100220212000001 is an apocalyptic number.

It is an amenable number.

100220212000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220212000001 is an equidigital number, since it uses as much as digits as its factorization.

100220212000001 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 11.

Adding to 100220212000001 its reverse (100000212022001), we get a palindrome (200220424022002).

The spelling of 100220212000001 in words is "one hundred trillion, two hundred twenty billion, two hundred twelve million, one", and thus it is an aban number.