34003121312100 has 144 divisors (see below), whose sum is σ = 98501213213312. Its totient is φ = 9056551127040.

The previous prime is 34003121312093. The next prime is 34003121312107. The reversal of 34003121312100 is 121312130043.

It is an interprime number because it is at equal distance from previous prime (34003121312093) and next prime (34003121312107).

It is not an unprimeable number, because it can be changed into a prime (34003121312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030912209 + ... + 1030945191.

Almost surely, 2^{34003121312100} is an apocalyptic number.

34003121312100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34003121312100 is an abundant number, since it is smaller than the sum of its proper divisors (64498091901212).

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

34003121312100 is a wasteful number, since it uses less digits than its factorization.

34003121312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37046 (or 37039 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 34003121312100 its reverse (121312130043), we get a palindrome (34124433442143).

The spelling of 34003121312100 in words is "thirty-four trillion, three billion, one hundred twenty-one million, three hundred twelve thousand, one hundred".