10210000220010 has 96 divisors (see below), whose sum is σ = 27212193682128. Its totient is φ = 2654430704640.

The previous prime is 10210000220003. The next prime is 10210000220023. The reversal of 10210000220010 is 1002200001201.

It can be written as a sum of positive squares in 8 ways, for example, as 2667842022609 + 7542158197401 = 1633353^2 + 2746299^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10210000219974 and 10210000220001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4409424 + ... + 6313716.

Almost surely, 2^{10210000220010} is an apocalyptic number.

10210000220010 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 10210000220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606096841064).

10210000220010 is an abundant number, since it is smaller than the sum of its proper divisors (17002193462118).

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

10210000220010 is a wasteful number, since it uses less digits than its factorization.

10210000220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905800 (or 1905797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210000220010 its reverse (1002200001201), we get a palindrome (11212200221211).

The spelling of 10210000220010 in words is "ten trillion, two hundred ten billion, two hundred twenty thousand, ten".