2001020110100 has 288 divisors, whose sum is σ = 5334104845440. Its totient is φ = 642097152000.

The previous prime is 2001020110097. The next prime is 2001020110109. The reversal of 2001020110100 is 10110201002.

It is a super-2 number, since 2×2001020110100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001020110109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34435070 + ... + 34493130.

It is an arithmetic number, because the mean of its divisors is an integer number (18521197380).

Almost surely, 2^{2001020110100} is an apocalyptic number.

2001020110100 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 2001020110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667052422720).

2001020110100 is an abundant number, since it is smaller than the sum of its proper divisors (3333084735340).

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

2001020110100 is a wasteful number, since it uses less digits than its factorization.

2001020110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58219 (or 58212 counting only the distinct ones).

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

Adding to 2001020110100 its reverse (10110201002), we get a palindrome (2011130311102).

The spelling of 2001020110100 in words is "two trillion, one billion, twenty million, one hundred ten thousand, one hundred".