10201120111000 has 256 divisors, whose sum is σ = 29394237600000. Its totient is φ = 3226836787200.

The previous prime is 10201120110997. The next prime is 10201120111093. The reversal of 10201120111000 is 11102110201.

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 63 ways as a sum of consecutive naturals, for example, 184611376 + ... + 184666624.

It is an arithmetic number, because the mean of its divisors is an integer number (114821240625).

Almost surely, 2^{10201120111000} is an apocalyptic number.

10201120111000 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 10201120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697118800000).

10201120111000 is an abundant number, since it is smaller than the sum of its proper divisors (19193117489000).

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

10201120111000 is a wasteful number, since it uses less digits than its factorization.

10201120111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57319 (or 57305 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201120111000 its reverse (11102110201), we get a palindrome (10212222221201).

The spelling of 10201120111000 in words is "ten trillion, two hundred one billion, one hundred twenty million, one hundred eleven thousand".