110106105508001 has 2 divisors, whose sum is σ = 110106105508002. Its totient is φ = 110106105508000.

The previous prime is 110106105507949. The next prime is 110106105508111. The reversal of 110106105508001 is 100805501601011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109863624112225 + 242481395776 = 10481585^2 + 492424^2 .

It is a cyclic number.

It is not a de Polignac number, because 110106105508001 - 2¹⁰ = 110106105506977 is a prime.

It is not a weakly prime, because it can be changed into another prime (110106105568001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55053052754000 + 55053052754001.

It is an arithmetic number, because the mean of its divisors is an integer number (55053052754001).

Almost surely, 2^{110106105508001} is an apocalyptic number.

It is an amenable number.

110106105508001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110106105508001 is an equidigital number, since it uses as much as digits as its factorization.

110106105508001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 29.

The spelling of 110106105508001 in words is "one hundred ten trillion, one hundred six billion, one hundred five million, five hundred eight thousand, one".