1000001100120 has 128 divisors (see below), whose sum is σ = 3361183223040. Its totient is φ = 235872483840.

The previous prime is 1000001100107. The next prime is 1000001100139. The reversal of 1000001100120 is 210011000001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 1000001100099 and 1000001100108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10188682 + ... + 10286361.

It is an arithmetic number, because the mean of its divisors is an integer number (26259243930).

Almost surely, 2^{1000001100120} is an apocalyptic number.

1000001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000001100120 is an abundant number, since it is smaller than the sum of its proper divisors (2361182122920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000001100120 is a wasteful number, since it uses less digits than its factorization.

1000001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20475105 (or 20475101 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000001100120 its reverse (210011000001), we get a palindrome (1210012100121).

The spelling of 1000001100120 in words is "one trillion, one million, one hundred thousand, one hundred twenty".