2001301022100 has 144 divisors (see below), whose sum is σ = 5866097823488. Its totient is φ = 526736424960.

The previous prime is 2001301022057. The next prime is 2001301022107. The reversal of 2001301022100 is 12201031002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001301022107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10586004 + ... + 10773396.

Almost surely, 2^{2001301022100} is an apocalyptic number.

2001301022100 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 2001301022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933048911744).

2001301022100 is an abundant number, since it is smaller than the sum of its proper divisors (3864796801388).

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

2001301022100 is a wasteful number, since it uses less digits than its factorization.

2001301022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187874 (or 187867 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2001301022100 its reverse (12201031002), we get a palindrome (2013502053102).

The spelling of 2001301022100 in words is "two trillion, one billion, three hundred one million, twenty-two thousand, one hundred".