10120210003200 has 648 divisors, whose sum is σ = 37895577250048. Its totient is φ = 2374225920000.

The previous prime is 10120210003181. The next prime is 10120210003219. The reversal of 10120210003200 is 230001202101.

It is an interprime number because it is at equal distance from previous prime (10120210003181) and next prime (10120210003219).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71948940 + ... + 72089460.

Almost surely, 2^{10120210003200} is an apocalyptic number.

10120210003200 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 10120210003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18947788625024).

10120210003200 is an abundant number, since it is smaller than the sum of its proper divisors (27775367246848).

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

10120210003200 is a wasteful number, since it uses less digits than its factorization.

10120210003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140603 (or 140573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10120210003200 its reverse (230001202101), we get a palindrome (10350211205301).

The spelling of 10120210003200 in words is "ten trillion, one hundred twenty billion, two hundred ten million, three thousand, two hundred".