101541005312 has 48 divisors (see below), whose sum is σ = 203995537200. Its totient is φ = 50529669120.

The previous prime is 101541005297. The next prime is 101541005323. The reversal of 101541005312 is 213500145101.

It is a super-2 number, since 2×101541005312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 314639 + ... + 549617.

It is an arithmetic number, because the mean of its divisors is an integer number (4249907025).

Almost surely, 2^101541005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101541005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101997768600).

101541005312 is an abundant number, since it is smaller than the sum of its proper divisors (102454531888).

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

101541005312 is an equidigital number, since it uses as much as digits as its factorization.

101541005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235212 (or 235192 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 101541005312 in words is "one hundred one billion, five hundred forty-one million, five thousand, three hundred twelve".