1011060106101 has 12 divisors (see below), whose sum is σ = 1460428945612. Its totient is φ = 674036012736.

The previous prime is 1011060106051. The next prime is 1011060106159. The reversal of 1011060106101 is 1016010601101.

1011060106101 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 601 + 0 + 61 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 487280783025 + 523779323076 = 698055^2 + 723726^2 .

It is not a de Polignac number, because 1011060106101 - 2⁶ = 1011060106037 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 (1011060106601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2447775 + ... + 2830851.

Almost surely, 2^{1011060106101} is an apocalyptic number.

It is an amenable number.

1011060106101 is a deficient number, since it is larger than the sum of its proper divisors (449368839511).

1011060106101 is a wasteful number, since it uses less digits than its factorization.

1011060106101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676340 (or 676337 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1011060106101 its reverse (1016010601101), we get a palindrome (2027070707202).

The spelling of 1011060106101 in words is "one trillion, eleven billion, sixty million, one hundred six thousand, one hundred one".