10212034030400 has 168 divisors, whose sum is σ = 25452209882880. Its totient is φ = 4032384768000.

The previous prime is 10212034030369. The next prime is 10212034030411. The reversal of 10212034030400 is 403043021201.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47154365 + ... + 47370435.

Almost surely, 2^{10212034030400} is an apocalyptic number.

10212034030400 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 10212034030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726104941440).

10212034030400 is an abundant number, since it is smaller than the sum of its proper divisors (15240175852480).

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

10212034030400 is a wasteful number, since it uses less digits than its factorization.

10212034030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216473 (or 216458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10212034030400 its reverse (403043021201), we get a palindrome (10615077051601).

The spelling of 10212034030400 in words is "ten trillion, two hundred twelve billion, thirty-four million, thirty thousand, four hundred".