1007041101 has 16 divisors (see below), whose sum is σ = 1465715520. Its totient is φ = 609941120.

The previous prime is 1007041073. The next prime is 1007041111. The reversal of 1007041101 is 1011407001.

It is a cyclic number.

It is not a de Polignac number, because 1007041101 - 2⁷ = 1007040973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007041111) 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, 48385 + ... + 65993.

It is an arithmetic number, because the mean of its divisors is an integer number (91607220).

Almost surely, 2^1007041101 is an apocalyptic number.

1007041101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1007041101 is a deficient number, since it is larger than the sum of its proper divisors (458674419).

1007041101 is a wasteful number, since it uses less digits than its factorization.

1007041101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19356.

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 1007041101 is about 31733.9108998560. The cubic root of 1007041101 is about 1002.3415465470.

Adding to 1007041101 its reverse (1011407001), we get a palindrome (2018448102).

The spelling of 1007041101 in words is "one billion, seven million, forty-one thousand, one hundred one".