101100110100061 has 8 divisors (see below), whose sum is σ = 106424124487200. Its totient is φ = 95776391309040.

The previous prime is 101100110100053. The next prime is 101100110100071. The reversal of 101100110100061 is 160001011001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101100110100061 - 2³ = 101100110100053 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 (101100110100071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73196806 + ... + 74565223.

It is an arithmetic number, because the mean of its divisors is an integer number (13303015560900).

Almost surely, 2^{101100110100061} is an apocalyptic number.

It is an amenable number.

101100110100061 is a deficient number, since it is larger than the sum of its proper divisors (5324014387139).

101100110100061 is a wasteful number, since it uses less digits than its factorization.

101100110100061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147798059.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101100110100061 its reverse (160001011001101), we get a palindrome (261101121101162).

The spelling of 101100110100061 in words is "one hundred one trillion, one hundred billion, one hundred ten million, one hundred thousand, sixty-one".