101438066112 has 112 divisors (see below), whose sum is σ = 270388762752. Its totient is φ = 33561216000.

The previous prime is 101438066101. The next prime is 101438066141. The reversal of 101438066112 is 211660834101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31200487 + ... + 31203737.

Almost surely, 2^101438066112 is an apocalyptic number.

101438066112 is a gapful number since it is divisible by the number (12) 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 101438066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135194381376).

101438066112 is an abundant number, since it is smaller than the sum of its proper divisors (168950696640).

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

101438066112 is a wasteful number, since it uses less digits than its factorization.

101438066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4416 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 101438066112 in words is "one hundred one billion, four hundred thirty-eight million, sixty-six thousand, one hundred twelve".