1011105011061 has 16 divisors (see below), whose sum is σ = 1499311436800. Its totient is φ = 673449868224.

The previous prime is 1011105010991. The next prime is 1011105011083. The reversal of 1011105011061 is 1601105011101.

It is a happy number.

1011105011061 is a `hidden beast` number, since 101 + 1 + 1 + 0 + 501 + 1 + 0 + 61 = 666.

It is not a de Polignac number, because 1011105011061 - 2⁹ = 1011105010549 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 (1011105011261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17196196 + ... + 17254893.

It is an arithmetic number, because the mean of its divisors is an integer number (93706964800).

Almost surely, 2^{1011105011061} is an apocalyptic number.

It is an amenable number.

1011105011061 is a deficient number, since it is larger than the sum of its proper divisors (488206425739).

1011105011061 is a wasteful number, since it uses less digits than its factorization.

1011105011061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34452185 (or 34452179 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

The spelling of 1011105011061 in words is "one trillion, eleven billion, one hundred five million, eleven thousand, sixty-one".