10212020420200 has 72 divisors (see below), whose sum is σ = 23903375964930. Its totient is φ = 4057391584000.

The previous prime is 10212020420179. The next prime is 10212020420237. The reversal of 10212020420200 is 202402021201.

It can be written as a sum of positive squares in 9 ways, for example, as 31083805636 + 10180936614564 = 176306^2 + 3190758^2 .

It is a super-2 number, since 2×10212020420200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3290250 + ... + 5590150.

Almost surely, 2^{10212020420200} is an apocalyptic number.

10212020420200 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 10212020420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951687982465).

10212020420200 is an abundant number, since it is smaller than the sum of its proper divisors (13691355544730).

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

10212020420200 is a wasteful number, since it uses less digits than its factorization.

10212020420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300215 (or 2300057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10212020420200 its reverse (202402021201), we get a palindrome (10414422441401).

The spelling of 10212020420200 in words is "ten trillion, two hundred twelve billion, twenty million, four hundred twenty thousand, two hundred".