100105111010061 has 12 divisors (see below), whose sum is σ = 144596396137180. Its totient is φ = 66736683129600.

The previous prime is 100105111010029. The next prime is 100105111010083. The reversal of 100105111010061 is 160010111501001.

It is a happy number.

100105111010061 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23969347222500 + 76135763787561 = 4895850^2 + 8725581^2 .

It is not a de Polignac number, because 100105111010061 - 2⁵ = 100105111010029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105111018061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8026845 + ... + 16267773.

Almost surely, 2^{100105111010061} is an apocalyptic number.

It is an amenable number.

100105111010061 is a deficient number, since it is larger than the sum of its proper divisors (44491285127119).

100105111010061 is a wasteful number, since it uses less digits than its factorization.

100105111010061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590636 (or 9590633 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 100105111010061 its reverse (160010111501001), we get a palindrome (260115222511062).

The spelling of 100105111010061 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, ten thousand, sixty-one".