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103001112101 is a prime number
BaseRepresentation
bin101111111101101011…
…0000011111000100101
3100211212022202122002202
41133323112003320211
53141421241041401
6115152411144245
710304315002316
oct1377326037045
9324768678082
10103001112101
113a756496038
1217b66a45085
1399364c3214
144db187660d
152a2c94d06b
hex17fb583e25

103001112101 has 2 divisors, whose sum is σ = 103001112102. Its totient is φ = 103001112100.

The previous prime is 103001112047. The next prime is 103001112121. The reversal of 103001112101 is 101211100301.

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., 89013319201 + 13987792900 = 298351^2 + 118270^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103001112101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103001112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51500556050 + 51500556051.

It is an arithmetic number, because the mean of its divisors is an integer number (51500556051).

Almost surely, 2103001112101 is an apocalyptic number.

It is an amenable number.

103001112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103001112101 is an equidigital number, since it uses as much as digits as its factorization.

103001112101 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 11.

Adding to 103001112101 its reverse (101211100301), we get a palindrome (204212212402).

The spelling of 103001112101 in words is "one hundred three billion, one million, one hundred twelve thousand, one hundred one".