1011101100061 has 32 divisors (see below), whose sum is σ = 1116808197120. Its totient is φ = 909562742784.

The previous prime is 1011101100043. The next prime is 1011101100077. The reversal of 1011101100061 is 1600011011101.

1011101100061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1011101100061 - 2⁷ = 1011101099933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011101100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148186696 + ... + 148193518.

It is an arithmetic number, because the mean of its divisors is an integer number (34900256160).

Almost surely, 2^{1011101100061} is an apocalyptic number.

It is an amenable number.

1011101100061 is a deficient number, since it is larger than the sum of its proper divisors (105707097059).

1011101100061 is a wasteful number, since it uses less digits than its factorization.

1011101100061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885.

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

Adding to 1011101100061 its reverse (1600011011101), we get a palindrome (2611112111162).

The spelling of 1011101100061 in words is "one trillion, eleven billion, one hundred one million, one hundred thousand, sixty-one".