10210011201000 has 384 divisors, whose sum is σ = 38540913465600. Its totient is φ = 2513232748800.

The previous prime is 10210011200981. The next prime is 10210011201007. The reversal of 10210011201000 is 10211001201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10210011201007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1542981 + ... + 4775019.

It is an arithmetic number, because the mean of its divisors is an integer number (100366962150).

Almost surely, 2^{10210011201000} is an apocalyptic number.

10210011201000 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 10210011201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19270456732800).

10210011201000 is an abundant number, since it is smaller than the sum of its proper divisors (28330902264600).

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

10210011201000 is a wasteful number, since it uses less digits than its factorization.

10210011201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232088 (or 3232062 counting only the distinct ones).

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

Adding to 10210011201000 its reverse (10211001201), we get a palindrome (10220222202201).

The spelling of 10210011201000 in words is "ten trillion, two hundred ten billion, eleven million, two hundred one thousand".