20101442114000 has 320 divisors, whose sum is σ = 54113933153280. Its totient is φ = 7174689177600.

The previous prime is 20101442113969. The next prime is 20101442114029. The reversal of 20101442114000 is 41124410102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108353321 + ... + 108538679.

It is an arithmetic number, because the mean of its divisors is an integer number (169106041104).

Almost surely, 2^{20101442114000} is an apocalyptic number.

20101442114000 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 20101442114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056966576640).

20101442114000 is an abundant number, since it is smaller than the sum of its proper divisors (34012491039280).

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

20101442114000 is a wasteful number, since it uses less digits than its factorization.

20101442114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185535 (or 185519 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20101442114000 its reverse (41124410102), we get a palindrome (20142566524102).

The spelling of 20101442114000 in words is "twenty trillion, one hundred one billion, four hundred forty-two million, one hundred fourteen thousand".