101541501006 has 128 divisors (see below), whose sum is σ = 228898897920. Its totient is φ = 29770675200.

The previous prime is 101541500999. The next prime is 101541501029. The reversal of 101541501006 is 600105145101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57725955 + ... + 57727713.

It is an arithmetic number, because the mean of its divisors is an integer number (1788272640).

Almost surely, 2^101541501006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101541501006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114449448960).

101541501006 is an abundant number, since it is smaller than the sum of its proper divisors (127357396914).

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

101541501006 is a wasteful number, since it uses less digits than its factorization.

101541501006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 101541501006 its reverse (600105145101), we get a palindrome (701646646107).

The spelling of 101541501006 in words is "one hundred one billion, five hundred forty-one million, five hundred one thousand, six".