1010112001 has 8 divisors (see below), whose sum is σ = 1089711144. Its totient is φ = 932755200.

The previous prime is 1010111989. The next prime is 1010112007. The reversal of 1010112001 is 1002110101.

It can be written as a sum of positive squares in 4 ways, for example, as 160680976 + 849431025 = 12676^2 + 29145^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1010112001 - 2¹⁹ = 1009587713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010112007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559650 + ... + 561451.

It is an arithmetic number, because the mean of its divisors is an integer number (136213893).

Almost surely, 2^1010112001 is an apocalyptic number.

It is an amenable number.

1010112001 is a deficient number, since it is larger than the sum of its proper divisors (79599143).

1010112001 is a wasteful number, since it uses less digits than its factorization.

1010112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121171.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1010112001 is about 31782.2592179977. The cubic root of 1010112001 is about 1003.3593690027.

Adding to 1010112001 its reverse (1002110101), we get a palindrome (2012222102).

The spelling of 1010112001 in words is "one billion, ten million, one hundred twelve thousand, one".