100100010000061 has 2 divisors, whose sum is σ = 100100010000062. Its totient is φ = 100100010000060.

The previous prime is 100100009999981. The next prime is 100100010000083. The reversal of 100100010000061 is 160000010001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61163583111225 + 38936426888836 = 7820715^2 + 6239906^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100010000061 - 2²⁵ = 100099976445629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100010000961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005000030 + 50050005000031.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005000031).

Almost surely, 2^{100100010000061} is an apocalyptic number.

It is an amenable number.

100100010000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010000061 is an equidigital number, since it uses as much as digits as its factorization.

100100010000061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100100010000061 its reverse (160000010001001), we get a palindrome (260100020001062).

The spelling of 100100010000061 in words is "one hundred trillion, one hundred billion, ten million, sixty-one", and thus it is an aban number.