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202122011122001 is a prime number
BaseRepresentation
bin101101111101010000110010…
…101011001001100101010001
3222111122200020110221002202222
4231331100302223021211101
5202443031334321401001
61553513323044150425
760400555600251455
oct5575206253114521
9874580213832688
10202122011122001
1159447510a71a53
121a804724698415
1388a204057a119
1437caa8696c665
1518579cd88061b
hexb7d432ac9951

202122011122001 has 2 divisors, whose sum is σ = 202122011122002. Its totient is φ = 202122011122000.

The previous prime is 202122011121971. The next prime is 202122011122013. The reversal of 202122011122001 is 100221110221202.

202122011122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112558519609600 + 89563491512401 = 10609360^2 + 9463799^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122011122001 - 214 = 202122011105617 is a prime.

It is not a weakly prime, because it can be changed into another prime (202122011122501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061005561000 + 101061005561001.

It is an arithmetic number, because the mean of its divisors is an integer number (101061005561001).

Almost surely, 2202122011122001 is an apocalyptic number.

It is an amenable number.

202122011122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122011122001 is an equidigital number, since it uses as much as digits as its factorization.

202122011122001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202122011122001 its reverse (100221110221202), we get a palindrome (302343121343203).

The spelling of 202122011122001 in words is "two hundred two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one".