10010011200210 has 384 divisors, whose sum is σ = 31257198895104. Its totient is φ = 2173070592000.

The previous prime is 10010011200181. The next prime is 10010011200257. The reversal of 10010011200210 is 1200211001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010011200192 and 10010011200201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1225661547 + ... + 1225669713.

It is an arithmetic number, because the mean of its divisors is an integer number (81398955456).

Almost surely, 2^{10010011200210} is an apocalyptic number.

10010011200210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010011200210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628599447552).

10010011200210 is an abundant number, since it is smaller than the sum of its proper divisors (21247187694894).

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

10010011200210 is a wasteful number, since it uses less digits than its factorization.

10010011200210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8798 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010011200210 its reverse (1200211001001), we get a palindrome (11210222201211).

The spelling of 10010011200210 in words is "ten trillion, ten billion, eleven million, two hundred thousand, two hundred ten".