101501245440 has 576 divisors, whose sum is σ = 411502291200. Its totient is φ = 22654550016.

The previous prime is 101501245331. The next prime is 101501245441. The reversal of 101501245440 is 44542105101.

101501245440 is a `hidden beast` number, since 10 + 150 + 12 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×101501245440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101501245441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27738331 + ... + 27741989.

It is an arithmetic number, because the mean of its divisors is an integer number (714413700).

Almost surely, 2^101501245440 is an apocalyptic number.

101501245440 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 101501245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205751145600).

101501245440 is an abundant number, since it is smaller than the sum of its proper divisors (310001045760).

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

101501245440 is a wasteful number, since it uses less digits than its factorization.

101501245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 101501245440 in words is "one hundred one billion, five hundred one million, two hundred forty-five thousand, four hundred forty".