10210320400 has 120 divisors (see below), whose sum is σ = 28110772224. Its totient is φ = 3491174400.

The previous prime is 10210320397. The next prime is 10210320431. The reversal of 10210320400 is 402301201.

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, 1067640 + ... + 1077160.

Almost surely, 2^10210320400 is an apocalyptic number.

10210320400 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 10210320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055386112).

10210320400 is an abundant number, since it is smaller than the sum of its proper divisors (17900451824).

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

10210320400 is a wasteful number, since it uses less digits than its factorization.

10210320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10210320400 its reverse (402301201), we get a palindrome (10612621601).

The spelling of 10210320400 in words is "ten billion, two hundred ten million, three hundred twenty thousand, four hundred".