201100100001020 has 192 divisors, whose sum is σ = 486248136514560. Its totient is φ = 69147488256000.

The previous prime is 201100100001007. The next prime is 201100100001077. The reversal of 201100100001020 is 20100001001102.

201100100001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201100100000989 and 201100100001007.

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, 328305596 + ... + 328917564.

It is an arithmetic number, because the mean of its divisors is an integer number (2532542377680).

Almost surely, 2^{201100100001020} is an apocalyptic number.

201100100001020 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 201100100001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243124068257280).

201100100001020 is an abundant number, since it is smaller than the sum of its proper divisors (285148036513540).

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

201100100001020 is a wasteful number, since it uses less digits than its factorization.

201100100001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612756 (or 612754 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201100100001020 its reverse (20100001001102), we get a palindrome (221200101002122).

The spelling of 201100100001020 in words is "two hundred one trillion, one hundred billion, one hundred million, one thousand, twenty".