1000002112101 has 32 divisors (see below), whose sum is σ = 1602005921280. Its totient is φ = 614102243328.

The previous prime is 1000002112099. The next prime is 1000002112103. The reversal of 1000002112101 is 1012112000001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000002112099) and next prime (1000002112103).

It is not a de Polignac number, because 1000002112101 - 2¹ = 1000002112099 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002112103) 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 31 ways as a sum of consecutive naturals, for example, 23155596 + ... + 23198741.

It is an arithmetic number, because the mean of its divisors is an integer number (50062685040).

Almost surely, 2^{1000002112101} is an apocalyptic number.

It is an amenable number.

1000002112101 is a deficient number, since it is larger than the sum of its proper divisors (602003809179).

1000002112101 is a wasteful number, since it uses less digits than its factorization.

1000002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46354410 (or 46354404 counting only the distinct ones).

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

Adding to 1000002112101 its reverse (1012112000001), we get a palindrome (2012114112102).

The spelling of 1000002112101 in words is "one trillion, two million, one hundred twelve thousand, one hundred one".