201101100101928 has 640 divisors, whose sum is σ = 644071538880000. Its totient is φ = 58075258798080.

The previous prime is 201101100101899. The next prime is 201101100101929. The reversal of 201101100101928 is 829101001101102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201101100101929) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143746318173 + ... + 143746319571.

It is an arithmetic number, because the mean of its divisors is an integer number (1006361779500).

Almost surely, 2^{201101100101928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101100101928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322035769440000).

201101100101928 is an abundant number, since it is smaller than the sum of its proper divisors (442970438778072).

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

201101100101928 is a wasteful number, since it uses less digits than its factorization.

201101100101928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 201101100101928 in words is "two hundred one trillion, one hundred one billion, one hundred million, one hundred one thousand, nine hundred twenty-eight".