1002111142401 has 6 divisors (see below), whose sum is σ = 1447493872370. Its totient is φ = 668074094928.

The previous prime is 1002111142391. The next prime is 1002111142423. The reversal of 1002111142401 is 1042411112001.

1002111142401 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 11 + 42 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 804420641025 + 197690501376 = 896895^2 + 444624^2 .

It is not a de Polignac number, because 1002111142401 - 2⁶ = 1002111142337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002111142451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55672841236 + ... + 55672841253.

Almost surely, 2^{1002111142401} is an apocalyptic number.

It is an amenable number.

1002111142401 is a deficient number, since it is larger than the sum of its proper divisors (445382729969).

1002111142401 is a wasteful number, since it uses less digits than its factorization.

1002111142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111345682495 (or 111345682492 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1002111142401 its reverse (1042411112001), we get a palindrome (2044522254402).

The spelling of 1002111142401 in words is "one trillion, two billion, one hundred eleven million, one hundred forty-two thousand, four hundred one".