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101220881141 is a prime number
BaseRepresentation
bin101111001000100111…
…1000001001011110101
3100200021020221112022202
41132101033001023311
53124300021144031
6114300014434245
710212230202512
oct1362117011365
9320236845282
10101220881141
1139a22604186
121774a802985
139711735413
144c83268309
1529764ec2cb
hex17913c12f5

101220881141 has 2 divisors, whose sum is σ = 101220881142. Its totient is φ = 101220881140.

The previous prime is 101220881089. The next prime is 101220881147. The reversal of 101220881141 is 141188022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70708128100 + 30512753041 = 265910^2 + 174679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101220881141 is a prime.

It is a super-3 number, since 3×1012208811413 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101220881147) 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, 50610440570 + 50610440571.

It is an arithmetic number, because the mean of its divisors is an integer number (50610440571).

Almost surely, 2101220881141 is an apocalyptic number.

It is an amenable number.

101220881141 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220881141 is an equidigital number, since it uses as much as digits as its factorization.

101220881141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 29.

The spelling of 101220881141 in words is "one hundred one billion, two hundred twenty million, eight hundred eighty-one thousand, one hundred forty-one".