1002111112001 has 4 divisors (see below), whose sum is σ = 1002113114112. Its totient is φ = 1002109109892.

The previous prime is 1002111111971. The next prime is 1002111112003.

1002111112001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1002111112001 - 2²² = 1002106917697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002111112003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500480 + ... + 1501566.

It is an arithmetic number, because the mean of its divisors is an integer number (250528278528).

Almost surely, 2^{1002111112001} is an apocalyptic number.

It is an amenable number.

1002111112001 is a deficient number, since it is larger than the sum of its proper divisors (2002111).

1002111112001 is a wasteful number, since it uses less digits than its factorization.

1002111112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002110.

The product of its (nonzero) digits is 4, while the sum is 11.

Multiplying 1002111112001 by its sum of digits (11), we get a palindrome (11023222232011).

The spelling of 1002111112001 in words is "one trillion, two billion, one hundred eleven million, one hundred twelve thousand, one".