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101210220101 is a prime number
BaseRepresentation
bin101111001000010011…
…0010110011001000101
3100200020111212220010102
41132100212112121011
53124234304020401
6114254554133445
710212040450664
oct1362046263105
9320214786112
10101210220101
1139a17592401
1217747121285
13970c471a03
144c81a90ddb
1529755e356b
hex1790996645

101210220101 has 2 divisors, whose sum is σ = 101210220102. Its totient is φ = 101210220100.

The previous prime is 101210220071. The next prime is 101210220121. The reversal of 101210220101 is 101022012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80855491201 + 20354728900 = 284351^2 + 142670^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210220101 - 26 = 101210220037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101210220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605110050 + 50605110051.

It is an arithmetic number, because the mean of its divisors is an integer number (50605110051).

Almost surely, 2101210220101 is an apocalyptic number.

It is an amenable number.

101210220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210220101 is an equidigital number, since it uses as much as digits as its factorization.

101210220101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101210220101 its reverse (101022012101), we get a palindrome (202232232202).

The spelling of 101210220101 in words is "one hundred one billion, two hundred ten million, two hundred twenty thousand, one hundred one".