2011121101000 has 128 divisors (see below), whose sum is σ = 5404046544000. Its totient is φ = 692826336000.

The previous prime is 2011121100889. The next prime is 2011121101001. The reversal of 2011121101000 is 1011211102.

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

It is not an unprimeable number, because it can be changed into a prime (2011121101001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4602295 + ... + 5020294.

It is an arithmetic number, because the mean of its divisors is an integer number (42219113625).

Almost surely, 2^{2011121101000} is an apocalyptic number.

2011121101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011121101000 is an abundant number, since it is smaller than the sum of its proper divisors (3392925443000).

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

2011121101000 is a wasteful number, since it uses less digits than its factorization.

2011121101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622640 (or 9622626 counting only the distinct ones).

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

Adding to 2011121101000 its reverse (1011211102), we get a palindrome (2012132312102).

The spelling of 2011121101000 in words is "two trillion, eleven billion, one hundred twenty-one million, one hundred one thousand".