10201011200000 has 168 divisors, whose sum is σ = 25499403379044. Its totient is φ = 4080394240000.

The previous prime is 10201011199999. The next prime is 10201011200011. The reversal of 10201011200000 is 211010201.

It can be written as a sum of positive squares in 6 ways, for example, as 2767405256704 + 7433605943296 = 1663552^2 + 2726464^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25400762 + ... + 25799238.

Almost surely, 2^{10201011200000} is an apocalyptic number.

10201011200000 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 10201011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749701689522).

10201011200000 is an abundant number, since it is smaller than the sum of its proper divisors (15298392179044).

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

10201011200000 is an frugal number, since it uses more digits than its factorization.

10201011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398528 (or 398484 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10201011200000 its reverse (211010201), we get a palindrome (10201222210201).

The spelling of 10201011200000 in words is "ten trillion, two hundred one billion, eleven million, two hundred thousand".