1002112001101 has 8 divisors (see below), whose sum is σ = 1017119520000. Its totient is φ = 987204200400.

The previous prime is 1002112001063. The next prime is 1002112001129. The reversal of 1002112001101 is 1011002112001.

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 1002112001101 - 2³⁵ = 967752262733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002112001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24909301 + ... + 24949498.

It is an arithmetic number, because the mean of its divisors is an integer number (127139940000).

Almost surely, 2^{1002112001101} is an apocalyptic number.

It is an amenable number.

1002112001101 is a deficient number, since it is larger than the sum of its proper divisors (15007518899).

1002112001101 is a wasteful number, since it uses less digits than its factorization.

1002112001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49859099.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1002112001101 its reverse (1011002112001), we get a palindrome (2013114113102).

It can be divided in two parts, 1002112001 and 101, that multiplied together give a palindrome (101213312101).

The spelling of 1002112001101 in words is "one trillion, two billion, one hundred twelve million, one thousand, one hundred one".