10210202020000 has 120 divisors (see below), whose sum is σ = 25133869177956. Its totient is φ = 4081602816000.

The previous prime is 10210202019959. The next prime is 10210202020003. The reversal of 10210202020000 is 2020201201.

10210202020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 1243555061904 + 8966646958096 = 1115148^2 + 2994436^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10210202020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32985954 + ... + 33294046.

Almost surely, 2^{10210202020000} is an apocalyptic number.

10210202020000 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 10210202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566934588978).

10210202020000 is an abundant number, since it is smaller than the sum of its proper divisors (14923667157956).

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

10210202020000 is an equidigital number, since it uses as much as digits as its factorization.

10210202020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309780 (or 309757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10210202020000 its reverse (2020201201), we get a palindrome (10212222221201).

The spelling of 10210202020000 in words is "ten trillion, two hundred ten billion, two hundred two million, twenty thousand".