2011122101000 has 128 divisors (see below), whose sum is σ = 4735467360000. Its totient is φ = 799422208000.

The previous prime is 2011122100979. The next prime is 2011122101047. The reversal of 2011122101000 is 1012211102.

It is a super-2 number, since 2×2011122101000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372496301 + ... + 372501699.

It is an arithmetic number, because the mean of its divisors is an integer number (36995838750).

Almost surely, 2^{2011122101000} is an apocalyptic number.

2011122101000 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 2011122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367733680000).

2011122101000 is an abundant number, since it is smaller than the sum of its proper divisors (2724345259000).

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

2011122101000 is a wasteful number, since it uses less digits than its factorization.

2011122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011122101000 its reverse (1012211102), we get a palindrome (2012134312102).

The spelling of 2011122101000 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred one thousand".