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101120009981 is a prime number
BaseRepresentation
bin101111000101100111…
…0001110011011111101
3100200000020010202002212
41132023032032123331
53124043210304411
6114242012430205
710206563621504
oct1361316163375
9320006122085
10101120009981
1139980678191
1217720a78365
1396c6878243
144c73acb83b
15296c72468b
hex178b38e6fd

101120009981 has 2 divisors, whose sum is σ = 101120009982. Its totient is φ = 101120009980.

The previous prime is 101120009899. The next prime is 101120009989. The reversal of 101120009981 is 189900021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98131201081 + 2988808900 = 313259^2 + 54670^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120009981 - 222 = 101115815677 is a prime.

It is a super-2 number, since 2×1011200099812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120009989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560004990 + 50560004991.

It is an arithmetic number, because the mean of its divisors is an integer number (50560004991).

Almost surely, 2101120009981 is an apocalyptic number.

It is an amenable number.

101120009981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120009981 is an equidigital number, since it uses as much as digits as its factorization.

101120009981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 101120009981 in words is "one hundred one billion, one hundred twenty million, nine thousand, nine hundred eighty-one".