10220042140000 has 480 divisors, whose sum is σ = 31372387022592. Its totient is φ = 3182880000000.

The previous prime is 10220042139941. The next prime is 10220042140001. The reversal of 10220042140000 is 4124002201.

10220042140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10220042140000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220042140001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2927538255 + ... + 2927541745.

Almost surely, 2^{10220042140000} is an apocalyptic number.

10220042140000 is a gapful number since it is divisible by the number (10) 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 10220042140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686193511296).

10220042140000 is an abundant number, since it is smaller than the sum of its proper divisors (21152344882592).

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

10220042140000 is a wasteful number, since it uses less digits than its factorization.

10220042140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5417 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10220042140000 its reverse (4124002201), we get a palindrome (10224166142201).

The spelling of 10220042140000 in words is "ten trillion, two hundred twenty billion, forty-two million, one hundred forty thousand".