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100321100101 is a prime number
BaseRepresentation
bin101110101101110011…
…0101000000101000101
3100120221112211220210001
41131123212220011011
53120424200200401
6114030433201301
710151023165255
oct1353346500505
9316845756701
10100321100101
1139600711392
1217539400231
1395ca1b75c1
144bd9967965
152922515601
hex175b9a8145

100321100101 has 2 divisors, whose sum is σ = 100321100102. Its totient is φ = 100321100100.

The previous prime is 100321100063. The next prime is 100321100147. The reversal of 100321100101 is 101001123001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93727822500 + 6593277601 = 306150^2 + 81199^2 .

It is a cyclic number.

It is not a de Polignac number, because 100321100101 - 29 = 100321099589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100321103101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50160550050 + 50160550051.

It is an arithmetic number, because the mean of its divisors is an integer number (50160550051).

Almost surely, 2100321100101 is an apocalyptic number.

It is an amenable number.

100321100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100321100101 is an equidigital number, since it uses as much as digits as its factorization.

100321100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100321100101 its reverse (101001123001), we get a palindrome (201322223102).

The spelling of 100321100101 in words is "one hundred billion, three hundred twenty-one million, one hundred thousand, one hundred one".