1112101010001 has 12 divisors (see below), whose sum is σ = 1617006327040. Its totient is φ = 736490734200.

The previous prime is 1112101009949. The next prime is 1112101010011. The reversal of 1112101010001 is 1000101012111.

It is not a de Polignac number, because 1112101010001 - 2⁹ = 1112101009489 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 not an unprimeable number, because it can be changed into a prime (1112101010011) 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 11 ways as a sum of consecutive naturals, for example, 409160161 + ... + 409162878.

Almost surely, 2^{1112101010001} is an apocalyptic number.

It is an amenable number.

1112101010001 is a deficient number, since it is larger than the sum of its proper divisors (504905317039).

1112101010001 is a wasteful number, since it uses less digits than its factorization.

1112101010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818323196 (or 818323193 counting only the distinct ones).

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

Adding to 1112101010001 its reverse (1000101012111), we get a palindrome (2112202022112).

It can be divided in two parts, 111210 and 1010001, that added together give a palindrome (1121211).

The spelling of 1112101010001 in words is "one trillion, one hundred twelve billion, one hundred one million, ten thousand, one".