101215319040 has 660 divisors, whose sum is σ = 398866228068. Its totient is φ = 24524881920.

The previous prime is 101215319003. The next prime is 101215319113. The reversal of 101215319040 is 40913512101.

It is a happy number.

101215319040 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 531 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62636073984 + 38579245056 = 250272^2 + 196416^2 .

It is a tau number, because it is divible by the number of its divisors (660).

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

It is a junction number, because it is equal to n+sod(n) for n = 101215318995 and 101215319013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50180112 + ... + 50182128.

Almost surely, 2^101215319040 is an apocalyptic number.

101215319040 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 101215319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199433114034).

101215319040 is an abundant number, since it is smaller than the sum of its proper divisors (297650909028).

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

101215319040 is a wasteful number, since it uses less digits than its factorization.

101215319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 101215319040 in words is "one hundred one billion, two hundred fifteen million, three hundred nineteen thousand, forty".