101541321440 has 192 divisors, whose sum is σ = 264887884800. Its totient is φ = 36546177024.

The previous prime is 101541321389. The next prime is 101541321451. The reversal of 101541321440 is 44123145101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 64306571 + ... + 64308149.

It is an arithmetic number, because the mean of its divisors is an integer number (1379624400).

Almost surely, 2^101541321440 is an apocalyptic number.

101541321440 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 101541321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132443942400).

101541321440 is an abundant number, since it is smaller than the sum of its proper divisors (163346563360).

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

101541321440 is a wasteful number, since it uses less digits than its factorization.

101541321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 101541321440 its reverse (44123145101), we get a palindrome (145664466541).

The spelling of 101541321440 in words is "one hundred one billion, five hundred forty-one million, three hundred twenty-one thousand, four hundred forty".