1003100121000 has 96 divisors (see below), whose sum is σ = 3390478439400. Its totient is φ = 267493363200.

The previous prime is 1003100120983. The next prime is 1003100121029. The reversal of 1003100121000 is 1210013001.

It can be written as a sum of positive squares in 4 ways, for example, as 290699975556 + 712400145444 = 539166^2 + 844038^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55718785 + ... + 55736784.

Almost surely, 2^{1003100121000} is an apocalyptic number.

1003100121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003100121000 is an abundant number, since it is smaller than the sum of its proper divisors (2387378318400).

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

1003100121000 is a wasteful number, since it uses less digits than its factorization.

1003100121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111455596 (or 111455579 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1003100121000 its reverse (1210013001), we get a palindrome (1004310134001).

The spelling of 1003100121000 in words is "one trillion, three billion, one hundred million, one hundred twenty-one thousand".