1011000121120 has 96 divisors (see below), whose sum is σ = 2758895064576. Its totient is φ = 346010726400.

The previous prime is 1011000121111. The next prime is 1011000121169. The reversal of 1011000121120 is 211210001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011000121097 and 1011000121106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16865136 + ... + 16924975.

It is an arithmetic number, because the mean of its divisors is an integer number (28738490256).

Almost surely, 2^{1011000121120} is an apocalyptic number.

1011000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011000121120 is an abundant number, since it is smaller than the sum of its proper divisors (1747894943456).

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

1011000121120 is a wasteful number, since it uses less digits than its factorization.

1011000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33790154 (or 33790146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011000121120 its reverse (211210001101), we get a palindrome (1222210122221).

The spelling of 1011000121120 in words is "one trillion, eleven billion, one hundred twenty-one thousand, one hundred twenty".