2011003112100 has 72 divisors (see below), whose sum is σ = 6019140375360. Its totient is φ = 517775511680.

The previous prime is 2011003112047. The next prime is 2011003112119. The reversal of 2011003112100 is 12113001102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115566192 + ... + 115583591.

It is an arithmetic number, because the mean of its divisors is an integer number (83599171880).

Almost surely, 2^{2011003112100} is an apocalyptic number.

2011003112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011003112100 is an abundant number, since it is smaller than the sum of its proper divisors (4008137263260).

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

2011003112100 is a wasteful number, since it uses less digits than its factorization.

2011003112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231149829 (or 231149822 counting only the distinct ones).

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

Adding to 2011003112100 its reverse (12113001102), we get a palindrome (2023116113202).

The spelling of 2011003112100 in words is "two trillion, eleven billion, three million, one hundred twelve thousand, one hundred".