10201120000 has 180 divisors, whose sum is σ = 25733387680. Its totient is φ = 4034304000.

The previous prime is 10201119983. The next prime is 10201120009. The reversal of 10201120000 is 2110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201120009) 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, 16479691 + ... + 16480309.

Almost surely, 2^10201120000 is an apocalyptic number.

10201120000 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 10201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866693840).

10201120000 is an abundant number, since it is smaller than the sum of its proper divisors (15532267680).

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

10201120000 is an frugal number, since it uses more digits than its factorization.

10201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10201120000 its reverse (2110201), we get a palindrome (10203230201).

The spelling of 10201120000 in words is "ten billion, two hundred one million, one hundred twenty thousand".