542101200000 has 384 divisors, whose sum is σ = 1809204828480. Its totient is φ = 143808000000.

The previous prime is 542101199989. The next prime is 542101200001. The reversal of 542101200000 is 2101245.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×542101200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (542101200001) 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, 253198930 + ... + 253201070.

Almost surely, 2^542101200000 is an apocalyptic number.

542101200000 is a gapful number since it is divisible by the number (50) 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 542101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904602414240).

542101200000 is an abundant number, since it is smaller than the sum of its proper divisors (1267103628480).

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

542101200000 is an equidigital number, since it uses as much as digits as its factorization.

542101200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 542101200000 its reverse (2101245), we get a palindrome (542103301245).

The spelling of 542101200000 in words is "five hundred forty-two billion, one hundred one million, two hundred thousand".