1003300121100 has 72 divisors (see below), whose sum is σ = 3002981078160. Its totient is φ = 258320948480.

The previous prime is 1003300121081. The next prime is 1003300121119. The reversal of 1003300121100 is 11210033001.

It is an interprime number because it is at equal distance from previous prime (1003300121081) and next prime (1003300121119).

It is a super-2 number, since 2×1003300121100² (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 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 23 ways as a sum of consecutive naturals, for example, 57652227 + ... + 57669626.

It is an arithmetic number, because the mean of its divisors is an integer number (41708070530).

Almost surely, 2^{1003300121100} is an apocalyptic number.

1003300121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003300121100 is an abundant number, since it is smaller than the sum of its proper divisors (1999680957060).

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

1003300121100 is a wasteful number, since it uses less digits than its factorization.

1003300121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115321899 (or 115321892 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1003300121100 its reverse (11210033001), we get a palindrome (1014510154101).

The spelling of 1003300121100 in words is "one trillion, three billion, three hundred million, one hundred twenty-one thousand, one hundred".