42101111400000 has 672 divisors, whose sum is σ = 141716643054336. Its totient is φ = 11027788800000.

The previous prime is 42101111399989. The next prime is 42101111400013. The reversal of 42101111400000 is 411110124.

It is a super-2 number, since 2×42101111400000² (a number of 28 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 12481798314 + ... + 12481801686.

It is an arithmetic number, because the mean of its divisors is an integer number (210887861688).

Almost surely, 2^{42101111400000} is an apocalyptic number.

42101111400000 is a gapful number since it is divisible by the number (40) 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 42101111400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70858321527168).

42101111400000 is an abundant number, since it is smaller than the sum of its proper divisors (99615531654336).

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

42101111400000 is an equidigital number, since it uses as much as digits as its factorization.

42101111400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 42101111400000 its reverse (411110124), we get a palindrome (42101522510124).

The spelling of 42101111400000 in words is "forty-two trillion, one hundred one billion, one hundred eleven million, four hundred thousand".