1010112002001 has 24 divisors (see below), whose sum is σ = 1537673592000. Its totient is φ = 637204996512.

The previous prime is 1010112001957. The next prime is 1010112002017. The reversal of 1010112002001 is 1002002110101.

It is a happy number.

It is not a de Polignac number, because 1010112002001 - 2²⁷ = 1009977784273 is a prime.

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 (1010112002041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3376846 + ... + 3663783.

It is an arithmetic number, because the mean of its divisors is an integer number (64069733000).

Almost surely, 2^{1010112002001} is an apocalyptic number.

It is an amenable number.

1010112002001 is a deficient number, since it is larger than the sum of its proper divisors (527561589999).

1010112002001 is a wasteful number, since it uses less digits than its factorization.

1010112002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041493 (or 7041490 counting only the distinct ones).

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

Adding to 1010112002001 its reverse (1002002110101), we get a palindrome (2012114112102).

It can be divided in two parts, 101011 and 2002001, that added together give a palindrome (2103012).

The spelling of 1010112002001 in words is "one trillion, ten billion, one hundred twelve million, two thousand, one".