101271159370440 has 192 divisors, whose sum is σ = 336370355942400. Its totient is φ = 26412473903616.

The previous prime is 101271159370417. The next prime is 101271159370477. The reversal of 101271159370440 is 44073951172101.

101271159370440 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 7 + 11 + 593 + 7 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21974106 + ... + 26180214.

It is an arithmetic number, because the mean of its divisors is an integer number (1751928937200).

Almost surely, 2^{101271159370440} is an apocalyptic number.

101271159370440 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 101271159370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168185177971200).

101271159370440 is an abundant number, since it is smaller than the sum of its proper divisors (235099196571960).

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

101271159370440 is a wasteful number, since it uses less digits than its factorization.

101271159370440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207596 (or 4207589 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 101271159370440 in words is "one hundred one trillion, two hundred seventy-one billion, one hundred fifty-nine million, three hundred seventy thousand, four hundred forty".