2011120121100 has 144 divisors (see below), whose sum is σ = 5936131570208. Its totient is φ = 525582120960.

The previous prime is 2011120121099. The next prime is 2011120121123. The reversal of 2011120121100 is 11210211102.

It is a super-4 number, since 4×2011120121100⁴ (a number of 50 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3145842 + ... + 3730758.

Almost surely, 2^{2011120121100} is an apocalyptic number.

2011120121100 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 2011120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968065785104).

2011120121100 is an abundant number, since it is smaller than the sum of its proper divisors (3925011449108).

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

2011120121100 is a wasteful number, since it uses less digits than its factorization.

2011120121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585164 (or 585157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2011120121100 its reverse (11210211102), we get a palindrome (2022330332202).

The spelling of 2011120121100 in words is "two trillion, eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".