101101121081 has 2 divisors, whose sum is σ = 101101121082. Its totient is φ = 101101121080.

The previous prime is 101101121059. The next prime is 101101121273. The reversal of 101101121081 is 180121101101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101073126400 + 27994681 = 317920^2 + 5291^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101101121081 is a prime.

It is a super-2 number, since 2×101101121081² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101101141081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550560540 + 50550560541.

It is an arithmetic number, because the mean of its divisors is an integer number (50550560541).

Almost surely, 2^101101121081 is an apocalyptic number.

It is an amenable number.

101101121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101121081 is an equidigital number, since it uses as much as digits as its factorization.

101101121081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101101121081 its reverse (180121101101), we get a palindrome (281222222182).

The spelling of 101101121081 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand, eighty-one".