101142415360 has 384 divisors, whose sum is σ = 298896998400. Its totient is φ = 32083476480.

The previous prime is 101142415349. The next prime is 101142415373. The reversal of 101142415360 is 63514241101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51106851 + ... + 51108829.

It is an arithmetic number, because the mean of its divisors is an integer number (778377600).

Almost surely, 2^101142415360 is an apocalyptic number.

101142415360 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 101142415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149448499200).

101142415360 is an abundant number, since it is smaller than the sum of its proper divisors (197754583040).

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

101142415360 is a wasteful number, since it uses less digits than its factorization.

101142415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 101142415360 its reverse (63514241101), we get a palindrome (164656656461).

The spelling of 101142415360 in words is "one hundred one billion, one hundred forty-two million, four hundred fifteen thousand, three hundred sixty".