10200021001200 has 300 divisors, whose sum is σ = 36616143631848. Its totient is φ = 2719330444800.

The previous prime is 10200021001193. The next prime is 10200021001211. The reversal of 10200021001200 is 210012000201.

It is a tau number, because it is divible by the number of its divisors (300).

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 138019459 + ... + 138093341.

Almost surely, 2^{10200021001200} is an apocalyptic number.

10200021001200 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 10200021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308071815924).

10200021001200 is an abundant number, since it is smaller than the sum of its proper divisors (26416122630648).

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

10200021001200 is a wasteful number, since it uses less digits than its factorization.

10200021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78174 (or 78154 counting only the distinct ones).

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

Adding to 10200021001200 its reverse (210012000201), we get a palindrome (10410033001401).

Subtracting from 10200021001200 its reverse (210012000201), we obtain a palindrome (9990009000999).

It can be divided in two parts, 1020002 and 1001200, that added together give a palindrome (2021202).

The spelling of 10200021001200 in words is "ten trillion, two hundred billion, twenty-one million, one thousand, two hundred".