2001100101012 has 192 divisors, whose sum is σ = 5517488928000. Its totient is φ = 625432264704.

The previous prime is 2001100100983. The next prime is 2001100101061. The reversal of 2001100101012 is 2101010011002.

It is a happy number.

It is a super-3 number, since 3×2001100101012³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001100100985 and 2001100101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82784064 + ... + 82808232.

It is an arithmetic number, because the mean of its divisors is an integer number (28736921500).

Almost surely, 2^{2001100101012} 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 2001100101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758744464000).

2001100101012 is an abundant number, since it is smaller than the sum of its proper divisors (3516388826988).

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

2001100101012 is a wasteful number, since it uses less digits than its factorization.

2001100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24615 (or 24607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001100101012 its reverse (2101010011002), we get a palindrome (4102110112014).

The spelling of 2001100101012 in words is "two trillion, one billion, one hundred million, one hundred one thousand, twelve".