2011010121100 has 36 divisors (see below), whose sum is σ = 4365151409304. Its totient is φ = 804171892480.

The previous prime is 2011010121089. The next prime is 2011010121209. The reversal of 2011010121100 is 11210101102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2553517 + ... + 3246916.

It is an arithmetic number, because the mean of its divisors is an integer number (121254205814).

Almost surely, 2^{2011010121100} is an apocalyptic number.

2011010121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011010121100 is an abundant number, since it is smaller than the sum of its proper divisors (2354141288204).

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

2011010121100 is a wasteful number, since it uses less digits than its factorization.

2011010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803914 (or 5803907 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011010121100 its reverse (11210101102), we get a palindrome (2022220222202).

The spelling of 2011010121100 in words is "two trillion, eleven billion, ten million, one hundred twenty-one thousand, one hundred".