2001102100 has 72 divisors (see below), whose sum is σ = 4394406240. Its totient is φ = 790922880.

The previous prime is 2001102083. The next prime is 2001102101. The reversal of 2001102100 is 12011002.

It is a super-2 number, since 2×2001102100² = 8008819229248820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001102101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4775691 + ... + 4776109.

It is an arithmetic number, because the mean of its divisors is an integer number (61033420).

Almost surely, 2^2001102100 is an apocalyptic number.

2001102100 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 2001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197203120).

2001102100 is an abundant number, since it is smaller than the sum of its proper divisors (2393304140).

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

2001102100 is a wasteful number, since it uses less digits than its factorization.

2001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2001102100 is about 44733.6797055641. The cubic root of 2001102100 is about 1260.1524338969.

Adding to 2001102100 its reverse (12011002), we get a palindrome (2013113102).

The spelling of 2001102100 in words is "two billion, one million, one hundred two thousand, one hundred".