101316901140 has 504 divisors, whose sum is σ = 399665899080. Its totient is φ = 21374793216.

The previous prime is 101316901099. The next prime is 101316901183. The reversal of 101316901140 is 41109613101.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 101299612176 = 4158^2 + 318276^2 .

It is a super-2 number, since 2×101316901140² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9282006 + ... + 9292914.

It is an arithmetic number, because the mean of its divisors is an integer number (792987895).

Almost surely, 2^101316901140 is an apocalyptic number.

101316901140 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 101316901140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199832949540).

101316901140 is an abundant number, since it is smaller than the sum of its proper divisors (298348997940).

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

101316901140 is a wasteful number, since it uses less digits than its factorization.

101316901140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10939 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 101316901140 in words is "one hundred one billion, three hundred sixteen million, nine hundred one thousand, one hundred forty".