201102102011000 has 256 divisors, whose sum is σ = 486906121728000. Its totient is φ = 77662359360000.

The previous prime is 201102102010963. The next prime is 201102102011003. The reversal of 201102102011000 is 110201201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102102011003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24953724971 + ... + 24953733029.

It is an arithmetic number, because the mean of its divisors is an integer number (1901977038000).

Almost surely, 2^{201102102011000} is an apocalyptic number.

201102102011000 is a gapful number since it is divisible by the number (20) 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 201102102011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243453060864000).

201102102011000 is an abundant number, since it is smaller than the sum of its proper divisors (285804019717000).

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

201102102011000 is a wasteful number, since it uses less digits than its factorization.

201102102011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201102102011000 its reverse (110201201102), we get a palindrome (201212303212102).

The spelling of 201102102011000 in words is "two hundred one trillion, one hundred two billion, one hundred two million, eleven thousand".