1011002112101 has 8 divisors (see below), whose sum is σ = 1064258412000. Its totient is φ = 957750378480.

The previous prime is 1011002112091. The next prime is 1011002112119. The reversal of 1011002112101 is 1012112001101.

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 1011002112101 - 2⁶ = 1011002112037 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 (1011002112181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682355 + ... + 1577216.

It is an arithmetic number, because the mean of its divisors is an integer number (133032301500).

Almost surely, 2^{1011002112101} is an apocalyptic number.

It is an amenable number.

1011002112101 is a deficient number, since it is larger than the sum of its proper divisors (53256299899).

1011002112101 is a wasteful number, since it uses less digits than its factorization.

1011002112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283139.

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

Adding to 1011002112101 its reverse (1012112001101), we get a palindrome (2023114113202).

The spelling of 1011002112101 in words is "one trillion, eleven billion, two million, one hundred twelve thousand, one hundred one".