2041000132100 has 144 divisors (see below), whose sum is σ = 4899248459280. Its totient is φ = 734533632000.

The previous prime is 2041000132097. The next prime is 2041000132139. The reversal of 2041000132100 is 12310001402.

It can be written as a sum of positive squares in 24 ways, for example, as 877609228864 + 1163390903236 = 936808^2 + 1078606^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774352 + ... + 5184248.

It is an arithmetic number, because the mean of its divisors is an integer number (34022558745).

Almost surely, 2^{2041000132100} is an apocalyptic number.

2041000132100 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 2041000132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449624229640).

2041000132100 is an abundant number, since it is smaller than the sum of its proper divisors (2858248327180).

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

2041000132100 is a wasteful number, since it uses less digits than its factorization.

2041000132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410058 (or 410051 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2041000132100 its reverse (12310001402), we get a palindrome (2053310133502).

The spelling of 2041000132100 in words is "two trillion, forty-one billion, one hundred thirty-two thousand, one hundred".