101229599016 has 768 divisors, whose sum is σ = 369373132800. Its totient is φ = 25748513280.

The previous prime is 101229598963. The next prime is 101229599017. The reversal of 101229599016 is 610995922101.

101229599016 is a `hidden beast` number, since 10 + 12 + 29 + 599 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (101229599017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345493366 + ... + 345493658.

It is an arithmetic number, because the mean of its divisors is an integer number (480954600).

Almost surely, 2^101229599016 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 101229599016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184686566400).

101229599016 is an abundant number, since it is smaller than the sum of its proper divisors (268143533784).

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

101229599016 is a wasteful number, since it uses less digits than its factorization.

101229599016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 101229599016 in words is "one hundred one billion, two hundred twenty-nine million, five hundred ninety-nine thousand, sixteen".