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10101100981 is a prime number
BaseRepresentation
bin10010110100001001…
…01001000110110101
3222001222000002121011
421122010221012311
5131141340212411
64350153352221
7505212640666
oct113204510665
928058002534
1010101100981
114313898744
121b5aa08671
13c4c92813a
146bb75d36d
153e1bcdc21
hex25a1291b5

10101100981 has 2 divisors, whose sum is σ = 10101100982. Its totient is φ = 10101100980.

The previous prime is 10101100979. The next prime is 10101101009. The reversal of 10101100981 is 18900110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8356702225 + 1744398756 = 91415^2 + 41766^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100981 - 21 = 10101100979 is a prime.

It is a super-2 number, since 2×101011009812 (a number of 21 digits) contains 22 as substring.

Together with 10101100979, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101100931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550490 + 5050550491.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550491).

Almost surely, 210101100981 is an apocalyptic number.

It is an amenable number.

10101100981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100981 is an equidigital number, since it uses as much as digits as its factorization.

10101100981 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 22.

The spelling of 10101100981 in words is "ten billion, one hundred one million, one hundred thousand, nine hundred eighty-one".