1020112001 has 8 divisors (see below), whose sum is σ = 1041644424. Its totient is φ = 998784000.

The previous prime is 1020111991. The next prime is 1020112003. The reversal of 1020112001 is 1002110201.

1020112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35093776 + 985018225 = 5924^2 + 31385^2 .

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 1020112001 - 2²² = 1015917697 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020112001.

It is not an unprimeable number, because it can be changed into a prime (1020112003) 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, 41000 + ... + 61001.

It is an arithmetic number, because the mean of its divisors is an integer number (130205553).

Almost surely, 2^1020112001 is an apocalyptic number.

It is an amenable number.

1020112001 is a deficient number, since it is larger than the sum of its proper divisors (21532423).

1020112001 is a wasteful number, since it uses less digits than its factorization.

1020112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102211.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1020112001 is about 31939.1922408817. The cubic root of 1020112001 is about 1006.6595522476.

Adding to 1020112001 its reverse (1002110201), we get a palindrome (2022222202).

The spelling of 1020112001 in words is "one billion, twenty million, one hundred twelve thousand, one".