10002002121100 has 72 divisors (see below), whose sum is σ = 23678775430128. Its totient is φ = 3636890668800.

The previous prime is 10002002120987. The next prime is 10002002121211. The reversal of 10002002121100 is 112120020001.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20434834 + ... + 20918566.

It is an arithmetic number, because the mean of its divisors is an integer number (328871880974).

Almost surely, 2^{10002002121100} is an apocalyptic number.

10002002121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002002121100 is an abundant number, since it is smaller than the sum of its proper divisors (13676773309028).

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

10002002121100 is a wasteful number, since it uses less digits than its factorization.

10002002121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502555 (or 502548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002002121100 its reverse (112120020001), we get a palindrome (10114122141101).

The spelling of 10002002121100 in words is "ten trillion, two billion, two million, one hundred twenty-one thousand, one hundred".