2001011101120 has 224 divisors, whose sum is σ = 5071326408000. Its totient is φ = 749431947264.

The previous prime is 2001011101109. The next prime is 2001011101123. The reversal of 2001011101120 is 211011101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001011101097 and 2001011101106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001011101123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999006039 + ... + 999008041.

Almost surely, 2^{2001011101120} is an apocalyptic number.

2001011101120 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 2001011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535663204000).

2001011101120 is an abundant number, since it is smaller than the sum of its proper divisors (3070315306880).

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

2001011101120 is a wasteful number, since it uses less digits than its factorization.

2001011101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2001011101120 its reverse (211011101002), we get a palindrome (2212022202122).

The spelling of 2001011101120 in words is "two trillion, one billion, eleven million, one hundred one thousand, one hundred twenty".