1007101011 has 8 divisors (see below), whose sum is σ = 1534630144. Its totient is φ = 575486280.

The previous prime is 1007100971. The next prime is 1007101057. The reversal of 1007101011 is 1101017001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1007101011 - 2¹³ = 1007092819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007101091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23978575 + ... + 23978616.

It is an arithmetic number, because the mean of its divisors is an integer number (191828768).

Almost surely, 2^1007101011 is an apocalyptic number.

1007101011 is a deficient number, since it is larger than the sum of its proper divisors (527529133).

1007101011 is an equidigital number, since it uses as much as digits as its factorization.

1007101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47957201.

The product of its (nonzero) digits is 7, while the sum is 12.

The square root of 1007101011 is about 31734.8548287211. The cubic root of 1007101011 is about 1002.3614229589.

Adding to 1007101011 its reverse (1101017001), we get a palindrome (2108118012).

The spelling of 1007101011 in words is "one billion, seven million, one hundred one thousand, eleven".