101135541540 has 192 divisors, whose sum is σ = 311200081920. Its totient is φ = 24337704960.

The previous prime is 101135541527. The next prime is 101135541589. The reversal of 101135541540 is 45145531101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101135541498 and 101135541507.

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, 64871281 + ... + 64872839.

It is an arithmetic number, because the mean of its divisors is an integer number (1620833760).

Almost surely, 2^101135541540 is an apocalyptic number.

101135541540 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 101135541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155600040960).

101135541540 is an abundant number, since it is smaller than the sum of its proper divisors (210064540380).

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

101135541540 is a wasteful number, since it uses less digits than its factorization.

101135541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 101135541540 in words is "one hundred one billion, one hundred thirty-five million, five hundred forty-one thousand, five hundred forty".