101460415112 has 64 divisors (see below), whose sum is σ = 229127184000. Its totient is φ = 41146016256.

The previous prime is 101460415103. The next prime is 101460415123. The reversal of 101460415112 is 211514064101.

It is a super-3 number, since 3×101460415112³ (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 856214 + ... + 967482.

It is an arithmetic number, because the mean of its divisors is an integer number (3580112250).

Almost surely, 2^101460415112 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 101460415112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114563592000).

101460415112 is an abundant number, since it is smaller than the sum of its proper divisors (127666768888).

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

101460415112 is a wasteful number, since it uses less digits than its factorization.

101460415112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112158 (or 112154 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 101460415112 its reverse (211514064101), we get a palindrome (312974479213).

The spelling of 101460415112 in words is "one hundred one billion, four hundred sixty million, four hundred fifteen thousand, one hundred twelve".