101110060506101 has 2 divisors, whose sum is σ = 101110060506102. Its totient is φ = 101110060506100.

The previous prime is 101110060506097. The next prime is 101110060506139. The reversal of 101110060506101 is 101605060011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57041374025476 + 44068686480625 = 7552574^2 + 6638425^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110060506101 - 2² = 101110060506097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110060506701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555030253050 + 50555030253051.

It is an arithmetic number, because the mean of its divisors is an integer number (50555030253051).

Almost surely, 2^{101110060506101} is an apocalyptic number.

It is an amenable number.

101110060506101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110060506101 is an equidigital number, since it uses as much as digits as its factorization.

101110060506101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 101110060506101 in words is "one hundred one trillion, one hundred ten billion, sixty million, five hundred six thousand, one hundred one".