2001101320032 has 96 divisors (see below), whose sum is σ = 5279124614400. Its totient is φ = 663704133120.

The previous prime is 2001101320021. The next prime is 2001101320121. The reversal of 2001101320032 is 2300231011002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2001101319993 and 2001101320020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99305094 + ... + 99325242.

It is an arithmetic number, because the mean of its divisors is an integer number (54990881400).

Almost surely, 2^{2001101320032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001101320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639562307200).

2001101320032 is an abundant number, since it is smaller than the sum of its proper divisors (3278023294368).

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

2001101320032 is a wasteful number, since it uses less digits than its factorization.

2001101320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25276 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2001101320032 its reverse (2300231011002), we get a palindrome (4301332331034).

The spelling of 2001101320032 in words is "two trillion, one billion, one hundred one million, three hundred twenty thousand, thirty-two".