2011000120100 has 36 divisors (see below), whose sum is σ = 4366915840644. Its totient is φ = 803838650880.

The previous prime is 2011000120091. The next prime is 2011000120109. The reversal of 2011000120100 is 10210001102.

It is an interprime number because it is at equal distance from previous prime (2011000120091) and next prime (2011000120109).

It can be written as a sum of positive squares in 6 ways, for example, as 274213511716 + 1736786608384 = 523654^2 + 1317872^2 .

It is not an unprimeable number, because it can be changed into a prime (2011000120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6873449 + ... + 7160048.

Almost surely, 2^{2011000120100} is an apocalyptic number.

2011000120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011000120100 is an abundant number, since it is smaller than the sum of its proper divisors (2355915720544).

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

2011000120100 is a wasteful number, since it uses less digits than its factorization.

2011000120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034944 (or 14034937 counting only the distinct ones).

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

Adding to 2011000120100 its reverse (10210001102), we get a palindrome (2021210121202).

The spelling of 2011000120100 in words is "two trillion, eleven billion, one hundred twenty thousand, one hundred".