10002121200112 has 40 divisors (see below), whose sum is σ = 19708250198400. Its totient is φ = 4916127006912.

The previous prime is 10002121200083. The next prime is 10002121200157. The reversal of 10002121200112 is 21100212120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002121200092 and 10002121200101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 29745339 + ... + 30079717.

It is an arithmetic number, because the mean of its divisors is an integer number (492706254960).

Almost surely, 2^{10002121200112} is an apocalyptic number.

It is an amenable number.

10002121200112 is a deficient number, since it is larger than the sum of its proper divisors (9706128998288).

10002121200112 is a wasteful number, since it uses less digits than its factorization.

10002121200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366133 (or 366127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10002121200112 its reverse (21100212120001), we get a palindrome (31102333320113).

The spelling of 10002121200112 in words is "ten trillion, two billion, one hundred twenty-one million, two hundred thousand, one hundred twelve".