1001112010101 has 48 divisors (see below), whose sum is σ = 1687939552000. Its totient is φ = 571526982432.

The previous prime is 1001112010069. The next prime is 1001112010109. The reversal of 1001112010101 is 1010102111001.

It is not a de Polignac number, because 1001112010101 - 2⁵ = 1001112010069 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001112010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3148320 + ... + 3451686.

Almost surely, 2^{1001112010101} is an apocalyptic number.

It is an amenable number.

1001112010101 is a deficient number, since it is larger than the sum of its proper divisors (686827541899).

1001112010101 is a wasteful number, since it uses less digits than its factorization.

1001112010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304463 (or 304446 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001112010101 its reverse (1010102111001), we get a palindrome (2011214121102).

The spelling of 1001112010101 in words is "one trillion, one billion, one hundred twelve million, ten thousand, one hundred one".