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211222100101 is a prime number
BaseRepresentation
bin1100010010110111010…
…0010111100010000101
3202012012102122102210111
43010231310113202011
511430040324200401
6241011210353021
721155165141005
oct3045564274205
9665172572714
10211222100101
11816404070a1
1234b29a2b771
1316bc226b0ac
14a31a688005
155763785e51
hex312dd17885

211222100101 has 2 divisors, whose sum is σ = 211222100102. Its totient is φ = 211222100100.

The previous prime is 211222100093. The next prime is 211222100113. The reversal of 211222100101 is 101001222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197007261025 + 14214839076 = 443855^2 + 119226^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222100101 - 23 = 211222100093 is a prime.

It is a super-2 number, since 2×2112221001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222160101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611050050 + 105611050051.

It is an arithmetic number, because the mean of its divisors is an integer number (105611050051).

Almost surely, 2211222100101 is an apocalyptic number.

It is an amenable number.

211222100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222100101 is an equidigital number, since it uses as much as digits as its factorization.

211222100101 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 13.

Adding to 211222100101 its reverse (101001222112), we get a palindrome (312223322213).

The spelling of 211222100101 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred thousand, one hundred one".