2012001101100 has 72 divisors (see below), whose sum is σ = 6468210955920. Its totient is φ = 536533626240.

The previous prime is 2012001101059. The next prime is 2012001101101. The reversal of 2012001101100 is 11011002102.

It is a happy number.

It is a super-2 number, since 2×2012001101100² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2012001101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372590097 + ... + 372595496.

Almost surely, 2^{2012001101100} is an apocalyptic number.

2012001101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012001101100 is an abundant number, since it is smaller than the sum of its proper divisors (4456209854820).

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

2012001101100 is a wasteful number, since it uses less digits than its factorization.

2012001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745185616 (or 745185603 counting only the distinct ones).

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

Adding to 2012001101100 its reverse (11011002102), we get a palindrome (2023012103202).

The spelling of 2012001101100 in words is "two trillion, twelve billion, one million, one hundred one thousand, one hundred".