2011542450100 has 72 divisors (see below), whose sum is σ = 4395127678200. Its totient is φ = 799074117120.

The previous prime is 2011542450077. The next prime is 2011542450121. The reversal of 2011542450100 is 10542451102.

It can be written as a sum of positive squares in 12 ways, for example, as 678616783524 + 1332925666576 = 823782^2 + 1154524^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131663662 + ... + 131678938.

It is an arithmetic number, because the mean of its divisors is an integer number (61043439975).

Almost surely, 2^{2011542450100} is an apocalyptic number.

2011542450100 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 2011542450100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197563839100).

2011542450100 is an abundant number, since it is smaller than the sum of its proper divisors (2383585228100).

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

2011542450100 is a wasteful number, since it uses less digits than its factorization.

2011542450100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

It can be divided in two parts, 2011542 and 450100, that added together give a palindrome (2461642).

The spelling of 2011542450100 in words is "two trillion, eleven billion, five hundred forty-two million, four hundred fifty thousand, one hundred".