1000120101101 has 24 divisors (see below), whose sum is σ = 1103926055232. Its totient is φ = 905381452800.

The previous prime is 1000120101031. The next prime is 1000120101191. The reversal of 1000120101101 is 1011010210001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-1000120101101 is a prime.

It is a super-2 number, since 2×1000120101101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000120101191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110007566 + ... + 110016656.

It is an arithmetic number, because the mean of its divisors is an integer number (45996918968).

Almost surely, 2^{1000120101101} is an apocalyptic number.

1000120101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000120101101 is a deficient number, since it is larger than the sum of its proper divisors (103805954131).

1000120101101 is a wasteful number, since it uses less digits than its factorization.

1000120101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12833 (or 12822 counting only the distinct ones).

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

Adding to 1000120101101 its reverse (1011010210001), we get a palindrome (2011130311102).

It can be divided in two parts, 10001 and 20101101, that added together give a palindrome (20111102).

The spelling of 1000120101101 in words is "one trillion, one hundred twenty million, one hundred one thousand, one hundred one".