201100110101020 has 192 divisors, whose sum is σ = 462434618693376. Its totient is φ = 73016913715200.

The previous prime is 201100110101017. The next prime is 201100110101021. The reversal of 201100110101020 is 20101011001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201100110100988 and 201100110101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100110101021) 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, 2276724097 + ... + 2276812423.

It is an arithmetic number, because the mean of its divisors is an integer number (2408513639028).

Almost surely, 2^{201100110101020} is an apocalyptic number.

201100110101020 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 201100110101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231217309346688).

201100110101020 is an abundant number, since it is smaller than the sum of its proper divisors (261334508592356).

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

201100110101020 is a wasteful number, since it uses less digits than its factorization.

201100110101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89040 (or 89038 counting only the distinct ones).

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

Adding to 201100110101020 its reverse (20101011001102), we get a palindrome (221201121102122).

The spelling of 201100110101020 in words is "two hundred one trillion, one hundred billion, one hundred ten million, one hundred one thousand, twenty".