10210314661800 has 576 divisors, whose sum is σ = 36671294553600. Its totient is φ = 2341804608000.

The previous prime is 10210314661739. The next prime is 10210314661837. The reversal of 10210314661800 is 816641301201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1118688837 + ... + 1118697963.

Almost surely, 2^{10210314661800} is an apocalyptic number.

10210314661800 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 10210314661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335647276800).

10210314661800 is an abundant number, since it is smaller than the sum of its proper divisors (26460979891800).

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

10210314661800 is a wasteful number, since it uses less digits than its factorization.

10210314661800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9998 (or 9978 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10210314661800 in words is "ten trillion, two hundred ten billion, three hundred fourteen million, six hundred sixty-one thousand, eight hundred".