101101110100981 has 2 divisors, whose sum is σ = 101101110100982. Its totient is φ = 101101110100980.

The previous prime is 101101110100931. The next prime is 101101110100999. The reversal of 101101110100981 is 189001011101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85320949720356 + 15780160380625 = 9236934^2 + 3972425^2 .

It is an emirp because it is prime and its reverse (189001011101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101110100981 - 2¹³ = 101101110092789 is a prime.

It is a super-2 number, since 2×101101110100981² (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 (101101110100901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550555050490 + 50550555050491.

It is an arithmetic number, because the mean of its divisors is an integer number (50550555050491).

Almost surely, 2^{101101110100981} is an apocalyptic number.

It is an amenable number.

101101110100981 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101110100981 is an equidigital number, since it uses as much as digits as its factorization.

101101110100981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 25.

The spelling of 101101110100981 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, nine hundred eighty-one".