10210202002000 has 1280 divisors, whose sum is σ = 33974625484800. Its totient is φ = 2865300480000.

The previous prime is 10210202001959. The next prime is 10210202002111. The reversal of 10210202002000 is 20020201201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15493477671 + ... + 15493478329.

It is an arithmetic number, because the mean of its divisors is an integer number (26542676160).

Almost surely, 2^{10210202002000} is an apocalyptic number.

10210202002000 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 10210202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987312742400).

10210202002000 is an abundant number, since it is smaller than the sum of its proper divisors (23764423482800).

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

10210202002000 is a wasteful number, since it uses less digits than its factorization.

10210202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

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

Adding to 10210202002000 its reverse (20020201201), we get a palindrome (10230222203201).

The spelling of 10210202002000 in words is "ten trillion, two hundred ten billion, two hundred two million, two thousand".