101112000001001 has 64 divisors (see below), whose sum is σ = 122385637877760. Its totient is φ = 82452110400000.

The previous prime is 101112000000961. The next prime is 101112000001007. The reversal of 101112000001001 is 100100000211101.

It is a happy number.

It is not a de Polignac number, because 101112000001001 - 2⁶ = 101112000000937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112000001001.

It is not an unprimeable number, because it can be changed into a prime (101112000001007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2327013326 + ... + 2327056776.

It is an arithmetic number, because the mean of its divisors is an integer number (1912275591840).

Almost surely, 2^{101112000001001} is an apocalyptic number.

101112000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112000001001 is a deficient number, since it is larger than the sum of its proper divisors (21273637876759).

101112000001001 is a wasteful number, since it uses less digits than its factorization.

101112000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48398.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101112000001001 its reverse (100100000211101), we get a palindrome (201212000212102).

The spelling of 101112000001001 in words is "one hundred one trillion, one hundred twelve billion, one thousand, one".