100106061000101 has 16 divisors (see below), whose sum is σ = 112494220164480. Its totient is φ = 88387604585280.

The previous prime is 100106061000079. The next prime is 100106061000133. The reversal of 100106061000101 is 101000160601001.

It is not a de Polignac number, because 100106061000101 - 2⁴² = 95708014488997 is a prime.

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 100106061000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106061000601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97798766 + ... + 98817056.

It is an arithmetic number, because the mean of its divisors is an integer number (7030888760280).

Almost surely, 2^{100106061000101} is an apocalyptic number.

It is an amenable number.

100106061000101 is a deficient number, since it is larger than the sum of its proper divisors (12388159164379).

100106061000101 is a wasteful number, since it uses less digits than its factorization.

100106061000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347116.

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

The spelling of 100106061000101 in words is "one hundred trillion, one hundred six billion, sixty-one million, one hundred one", and thus it is an aban number.