2101442061600 has 432 divisors, whose sum is σ = 8742005475840. Its totient is φ = 464834764800.

The previous prime is 2101442061529. The next prime is 2101442061637. The reversal of 2101442061600 is 61602441012.

2101442061600 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 4 + 42 + 0 + 616 + 0 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 889896 + ... + 2234904.

Almost surely, 2^{2101442061600} is an apocalyptic number.

2101442061600 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 2101442061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371002737920).

2101442061600 is an abundant number, since it is smaller than the sum of its proper divisors (6640563414240).

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

2101442061600 is a wasteful number, since it uses less digits than its factorization.

2101442061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345073 (or 1345057 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2101442061600 in words is "two trillion, one hundred one billion, four hundred forty-two million, sixty-one thousand, six hundred".