1011040101 has 6 divisors (see below), whose sum is σ = 1460391270. Its totient is φ = 674026728.

The previous prime is 1011040057. The next prime is 1011040109. The reversal of 1011040101 is 1010401101.

It can be written as a sum of positive squares in only one way, i.e., 600005025 + 411035076 = 24495^2 + 20274^2 .

It is not a de Polignac number, because 1011040101 - 2¹¹ = 1011038053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112337789 = 1011040101 / (1 + 0 + 1 + 1 + 0 + 4 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011040109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56168886 + ... + 56168903.

It is an arithmetic number, because the mean of its divisors is an integer number (243398545).

Almost surely, 2^1011040101 is an apocalyptic number.

It is an amenable number.

1011040101 is a deficient number, since it is larger than the sum of its proper divisors (449351169).

1011040101 is a wasteful number, since it uses less digits than its factorization.

1011040101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112337795 (or 112337792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011040101 is about 31796.8567786189. The cubic root of 1011040101 is about 1003.6665734748. Note that the first 3 decimals are identical.

Adding to 1011040101 its reverse (1010401101), we get a palindrome (2021441202).

The spelling of 1011040101 in words is "one billion, eleven million, forty thousand, one hundred one".