2034011001100 has 144 divisors (see below), whose sum is σ = 5039276521216. Its totient is φ = 707149440000.

The previous prime is 2034011001053. The next prime is 2034011001157. The reversal of 2034011001100 is 11001104302.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809050 + ... + 2173150.

Almost surely, 2^{2034011001100} is an apocalyptic number.

2034011001100 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 2034011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519638260608).

2034011001100 is an abundant number, since it is smaller than the sum of its proper divisors (3005265520116).

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

2034011001100 is a wasteful number, since it uses less digits than its factorization.

2034011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364196 (or 1364189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2034011001100 its reverse (11001104302), we get a palindrome (2045012105402).

The spelling of 2034011001100 in words is "two trillion, thirty-four billion, eleven million, one thousand, one hundred".