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210222012101 is a prime number
BaseRepresentation
bin1100001111001000110…
…1010101011011000101
3202002121201210200222012
43003302031111123011
511421013313341401
6240324043144005
721121332422363
oct3036215253305
9662551720865
10210222012101
1181177933192
12348aab15005
1316a92cccb4a
14a263916633
155705a888bb
hex30f23556c5

210222012101 has 2 divisors, whose sum is σ = 210222012102. Its totient is φ = 210222012100.

The previous prime is 210222012083. The next prime is 210222012149. The reversal of 210222012101 is 101210222012.

210222012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206775735076 + 3446277025 = 454726^2 + 58705^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210222012101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210222017101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105111006050 + 105111006051.

It is an arithmetic number, because the mean of its divisors is an integer number (105111006051).

Almost surely, 2210222012101 is an apocalyptic number.

It is an amenable number.

210222012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

210222012101 is an equidigital number, since it uses as much as digits as its factorization.

210222012101 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 14.

Adding to 210222012101 its reverse (101210222012), we get a palindrome (311432234113).

It can be divided in two parts, 210222012 and 101, that multiplied together give a palindrome (21232423212).

The spelling of 210222012101 in words is "two hundred ten billion, two hundred twenty-two million, twelve thousand, one hundred one".