10212021243200 has 252 divisors, whose sum is σ = 29236161606300. Its totient is φ = 3500583690240.

The previous prime is 10212021243043. The next prime is 10212021243251. The reversal of 10212021243200 is 234212021201.

It can be written as a sum of positive squares in 6 ways, for example, as 979940416 + 10211041302784 = 31304^2 + 3195472^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 562667726 + ... + 562685874.

Almost surely, 2^{10212021243200} is an apocalyptic number.

10212021243200 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 10212021243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618080803150).

10212021243200 is an abundant number, since it is smaller than the sum of its proper divisors (19024140363100).

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

10212021243200 is a wasteful number, since it uses less digits than its factorization.

10212021243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25362 (or 25340 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10212021243200 its reverse (234212021201), we get a palindrome (10446233264401).

The spelling of 10212021243200 in words is "ten trillion, two hundred twelve billion, twenty-one million, two hundred forty-three thousand, two hundred".