100106100100601 has 8 divisors (see below), whose sum is σ = 114407367024000. Its totient is φ = 85804932047328.

The previous prime is 100106100100597. The next prime is 100106100100619. The reversal of 100106100100601 is 106001001601001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100106100100601 - 2² = 100106100100597 is a prime.

It is a super-2 number, since 2×100106100100601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100106100100601.

It is not an unprimeable number, because it can be changed into a prime (100106100100631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22535036 + ... + 26609021.

It is an arithmetic number, because the mean of its divisors is an integer number (14300920878000).

Almost surely, 2^{100106100100601} is an apocalyptic number.

It is an amenable number.

100106100100601 is a deficient number, since it is larger than the sum of its proper divisors (14301266923399).

100106100100601 is an equidigital number, since it uses as much as digits as its factorization.

100106100100601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49435063.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100106100100601 its reverse (106001001601001), we get a palindrome (206107101701602).

The spelling of 100106100100601 in words is "one hundred trillion, one hundred six billion, one hundred million, one hundred thousand, six hundred one".