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101010011000981 is a prime number
BaseRepresentation
bin10110111101111000111001…
…110100110001000010010101
3111020122110111100012111101212
4112331320321310301002111
5101214422000304012411
6554455205231431205
730163506144042125
oct2675707164610225
9436573440174355
10101010011000981
112a2041179802a5
12b3b4500385505
1344492844812b4
141ad2ca6a42c85
15ba277ed6868b
hex5bde39d31095

101010011000981 has 2 divisors, whose sum is σ = 101010011000982. Its totient is φ = 101010011000980.

The previous prime is 101010011000971. The next prime is 101010011001013. The reversal of 101010011000981 is 189000110010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88955851952881 + 12054159048100 = 9431641^2 + 3471910^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010011000981 - 242 = 96611964489877 is a prime.

It is a super-2 number, since 2×1010100110009812 (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 (101010011000971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505005500490 + 50505005500491.

It is an arithmetic number, because the mean of its divisors is an integer number (50505005500491).

Almost surely, 2101010011000981 is an apocalyptic number.

It is an amenable number.

101010011000981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010011000981 is an equidigital number, since it uses as much as digits as its factorization.

101010011000981 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 101010011000981 in words is "one hundred one trillion, ten billion, eleven million, nine hundred eighty-one", and thus it is an aban number.