10201011010200 has 384 divisors, whose sum is σ = 35264628633600. Its totient is φ = 2710391040000.

The previous prime is 10201011010193. The next prime is 10201011010301. The reversal of 10201011010200 is 201011010201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2388434065 + ... + 2388438335.

It is an arithmetic number, because the mean of its divisors is an integer number (91834970400).

Almost surely, 2^{10201011010200} is an apocalyptic number.

10201011010200 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 10201011010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632314316800).

10201011010200 is an abundant number, since it is smaller than the sum of its proper divisors (25063617623400).

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

10201011010200 is a wasteful number, since it uses less digits than its factorization.

10201011010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 5785 counting only the distinct ones).

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

Adding to 10201011010200 its reverse (201011010201), we get a palindrome (10402022020401).

Subtracting from 10201011010200 its reverse (201011010201), we obtain a palindrome (9999999999999).

The spelling of 10201011010200 in words is "ten trillion, two hundred one billion, eleven million, ten thousand, two hundred".