101106111061 has 2 divisors, whose sum is σ = 101106111062. Its totient is φ = 101106111060.

The previous prime is 101106111053. The next prime is 101106111103. The reversal of 101106111061 is 160111601101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100482660100 + 623450961 = 316990^2 + 24969^2 .

It is a cyclic number.

It is not a de Polignac number, because 101106111061 - 2³ = 101106111053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101106111361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50553055530 + 50553055531.

It is an arithmetic number, because the mean of its divisors is an integer number (50553055531).

Almost surely, 2^101106111061 is an apocalyptic number.

It is an amenable number.

101106111061 is a deficient number, since it is larger than the sum of its proper divisors (1).

101106111061 is an equidigital number, since it uses as much as digits as its factorization.

101106111061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 101106111061 its reverse (160111601101), we get a palindrome (261217712162).

The spelling of 101106111061 in words is "one hundred one billion, one hundred six million, one hundred eleven thousand, sixty-one".