1031000121120 has 96 divisors (see below), whose sum is σ = 3248227096128. Its totient is φ = 274884543488.

The previous prime is 1031000121059. The next prime is 1031000121121. The reversal of 1031000121120 is 211210001301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1031000121120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1031000121096 and 1031000121105.

It is not an unprimeable number, because it can be changed into a prime (1031000121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2556307 + ... + 2932013.

It is an arithmetic number, because the mean of its divisors is an integer number (33835698918).

Almost surely, 2^{1031000121120} is an apocalyptic number.

1031000121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031000121120 is an abundant number, since it is smaller than the sum of its proper divisors (2217226975008).

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

1031000121120 is a wasteful number, since it uses less digits than its factorization.

1031000121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381442 (or 381434 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1031000121120 its reverse (211210001301), we get a palindrome (1242210122421).

The spelling of 1031000121120 in words is "one trillion, thirty-one billion, one hundred twenty-one thousand, one hundred twenty".