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101221000117 is a prime number
BaseRepresentation
bin101111001000100111…
…1011110001110110101
3100200021021011120112021
41132101033132032311
53124300034000432
6114300021153141
710212231206416
oct1362117361665
9320237146467
10101221000117
1139a22685606
121774a85b7b1
139711777613
144c8329980d
152976522697
hex17913de3b5

101221000117 has 2 divisors, whose sum is σ = 101221000118. Its totient is φ = 101221000116.

The previous prime is 101221000087. The next prime is 101221000163. The reversal of 101221000117 is 711000122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67678542801 + 33542457316 = 260151^2 + 183146^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101221000117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101221000117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221007117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610500058 + 50610500059.

It is an arithmetic number, because the mean of its divisors is an integer number (50610500059).

Almost surely, 2101221000117 is an apocalyptic number.

It is an amenable number.

101221000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221000117 is an equidigital number, since it uses as much as digits as its factorization.

101221000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 101221000117 its reverse (711000122101), we get a palindrome (812221122218).

The spelling of 101221000117 in words is "one hundred one billion, two hundred twenty-one million, one hundred seventeen", and thus it is an aban number.