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202202112001 is a prime number
BaseRepresentation
bin1011110001010000101…
…1110110000000000001
3201022220210221120021011
42330110023312000001
511303102220041001
6232520153000521
720415520410421
oct2742413660001
9638823846234
10202202112001
117883190357a
12332310b3141
13160b560cc26
149b0274c481
1553d695bd51
hex2f142f6001

202202112001 has 2 divisors, whose sum is σ = 202202112002. Its totient is φ = 202202112000.

The previous prime is 202202111953. The next prime is 202202112031. The reversal of 202202112001 is 100211202202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158146200976 + 44055911025 = 397676^2 + 209895^2 .

It is a cyclic number.

It is not a de Polignac number, because 202202112001 - 27 = 202202111873 is a prime.

It is not a weakly prime, because it can be changed into another prime (202202112031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101101056000 + 101101056001.

It is an arithmetic number, because the mean of its divisors is an integer number (101101056001).

Almost surely, 2202202112001 is an apocalyptic number.

It is an amenable number.

202202112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202202112001 is an equidigital number, since it uses as much as digits as its factorization.

202202112001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202202112001 its reverse (100211202202), we get a palindrome (302413314203).

The spelling of 202202112001 in words is "two hundred two billion, two hundred two million, one hundred twelve thousand, one".