10421210021200 has 240 divisors, whose sum is σ = 28204563363840. Its totient is φ = 3665928384000.

The previous prime is 10421210021197. The next prime is 10421210021203. The reversal of 10421210021200 is 212001212401.

It is an interprime number because it is at equal distance from previous prime (10421210021197) and next prime (10421210021203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421210021203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411778947 + ... + 411804253.

It is an arithmetic number, because the mean of its divisors is an integer number (117519014016).

Almost surely, 2^{10421210021200} is an apocalyptic number.

10421210021200 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 10421210021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102281681920).

10421210021200 is an abundant number, since it is smaller than the sum of its proper divisors (17783353342640).

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

10421210021200 is a wasteful number, since it uses less digits than its factorization.

10421210021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28386 (or 28375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10421210021200 its reverse (212001212401), we get a palindrome (10633211233601).

The spelling of 10421210021200 in words is "ten trillion, four hundred twenty-one billion, two hundred ten million, twenty-one thousand, two hundred".