1012112001 has 12 divisors (see below), whose sum is σ = 1465863828. Its totient is φ = 672930144.

The previous prime is 1012111993. The next prime is 1012112021. The reversal of 1012112001 is 1002112101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 420455025 + 591656976 = 20505^2 + 24324^2 .

It is not a de Polignac number, because 1012112001 - 2³ = 1012111993 is a prime.

It is a super-3 number, since 3×1012112001³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1012112021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147390 + ... + 154103.

It is an arithmetic number, because the mean of its divisors is an integer number (122155319).

Almost surely, 2^1012112001 is an apocalyptic number.

It is an amenable number.

1012112001 is a deficient number, since it is larger than the sum of its proper divisors (453751827).

1012112001 is a wasteful number, since it uses less digits than its factorization.

1012112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301872 (or 301869 counting only the distinct ones).

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

The square root of 1012112001 is about 31813.7077531054. The cubic root of 1012112001 is about 1004.0211424070.

Adding to 1012112001 its reverse (1002112101), we get a palindrome (2014224102).

It can be divided in two parts, 10121 and 12001, that added together give a palindrome (22122).

The spelling of 1012112001 in words is "one billion, twelve million, one hundred twelve thousand, one".