100110060501001 has 2 divisors, whose sum is σ = 100110060501002. Its totient is φ = 100110060501000.

The previous prime is 100110060500999. The next prime is 100110060501007. The reversal of 100110060501001 is 100105060011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100110050261001 + 10240000 = 10005501^2 + 3200^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110060501001 - 2¹ = 100110060500999 is a prime.

It is a super-2 number, since 2×100110060501001² (a number of 29 digits) contains 22 as substring.

Together with 100110060500999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100110060501007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055030250500 + 50055030250501.

It is an arithmetic number, because the mean of its divisors is an integer number (50055030250501).

Almost surely, 2^{100110060501001} is an apocalyptic number.

It is an amenable number.

100110060501001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110060501001 is an equidigital number, since it uses as much as digits as its factorization.

100110060501001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 100110060501001 in words is "one hundred trillion, one hundred ten billion, sixty million, five hundred one thousand, one".