101110010100061 has 2 divisors, whose sum is σ = 101110010100062. Its totient is φ = 101110010100060.

The previous prime is 101110010100017. The next prime is 101110010100067. The reversal of 101110010100061 is 160001010011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90680863022500 + 10429147077561 = 9522650^2 + 3229419^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110010100061 - 2³³ = 101101420165469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110010100067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555005050030 + 50555005050031.

It is an arithmetic number, because the mean of its divisors is an integer number (50555005050031).

Almost surely, 2^{101110010100061} is an apocalyptic number.

It is an amenable number.

101110010100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110010100061 is an equidigital number, since it uses as much as digits as its factorization.

101110010100061 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 13.

Adding to 101110010100061 its reverse (160001010011101), we get a palindrome (261111020111162).

The spelling of 101110010100061 in words is "one hundred one trillion, one hundred ten billion, ten million, one hundred thousand, sixty-one".