10002121200 has 360 divisors, whose sum is σ = 36262081856. Its totient is φ = 2550528000.

The previous prime is 10002121153. The next prime is 10002121223. The reversal of 10002121200 is 212120001.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8124585 + ... + 8125815.

Almost surely, 2^10002121200 is an apocalyptic number.

10002121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131040928).

10002121200 is an abundant number, since it is smaller than the sum of its proper divisors (26259960656).

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

10002121200 is a wasteful number, since it uses less digits than its factorization.

10002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002121200 its reverse (212120001), we get a palindrome (10214241201).

The spelling of 10002121200 in words is "ten billion, two million, one hundred twenty-one thousand, two hundred".