2011000121000 has 192 divisors, whose sum is σ = 5132817920880. Its totient is φ = 737094758400.

The previous prime is 2011000120991. The next prime is 2011000121003. The reversal of 2011000121000 is 1210001102.

It can be written as a sum of positive squares in 24 ways, for example, as 1460409408676 + 550590712324 = 1208474^2 + 742018^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2011000121003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23109572 + ... + 23196428.

Almost surely, 2^{2011000121000} is an apocalyptic number.

2011000121000 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 2011000121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566408960440).

2011000121000 is an abundant number, since it is smaller than the sum of its proper divisors (3121817799880).

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

2011000121000 is a wasteful number, since it uses less digits than its factorization.

2011000121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87041 (or 87014 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2011000121000 its reverse (1210001102), we get a palindrome (2012210122102).

The spelling of 2011000121000 in words is "two trillion, eleven billion, one hundred twenty-one thousand".