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101010010010981 is a prime number
BaseRepresentation
bin10110111101111000111001…
…110000111111010101100101
3111020122110111021100012101012
4112331320321300333111211
5101214422000030322411
6554455205154312005
730163506132446621
oct2675707160772545
9436573437305335
10101010010010981
112a204117364515
12b3b44bbb88605
1344492841c57b6
141ad2ca6866181
15ba277ec2018b
hex5bde39c3f565

101010010010981 has 2 divisors, whose sum is σ = 101010010010982. Its totient is φ = 101010010010980.

The previous prime is 101010010010977. The next prime is 101010010011151. The reversal of 101010010010981 is 189010010010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89177029202881 + 11832980808100 = 9443359^2 + 3439910^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010010010981 - 22 = 101010010010977 is a prime.

It is a super-2 number, since 2×1010100100109812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010010010911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005005490 + 50505005005491.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005005491).

Almost surely, 2101010010010981 is an apocalyptic number.

It is an amenable number.

101010010010981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010010010981 is an equidigital number, since it uses as much as digits as its factorization.

101010010010981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 101010010010981 in words is "one hundred one trillion, ten billion, ten million, ten thousand, nine hundred eighty-one".