101142868722720 has 768 divisors, whose sum is σ = 358791366592512. Its totient is φ = 23734511861760.

The previous prime is 101142868722713. The next prime is 101142868722739. The reversal of 101142868722720 is 27227868241101.

It is a super-2 number, since 2×101142868722720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50145199152 + ... + 50145201168.

It is an arithmetic number, because the mean of its divisors is an integer number (467176258584).

Almost surely, 2^{101142868722720} is an apocalyptic number.

101142868722720 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 101142868722720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179395683296256).

101142868722720 is an abundant number, since it is smaller than the sum of its proper divisors (257648497869792).

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

101142868722720 is a wasteful number, since it uses less digits than its factorization.

101142868722720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 101142868722720 in words is "one hundred one trillion, one hundred forty-two billion, eight hundred sixty-eight million, seven hundred twenty-two thousand, seven hundred twenty".