101229439200 has 144 divisors (see below), whose sum is σ = 329703491376. Its totient is φ = 26977996800.

The previous prime is 101229439163. The next prime is 101229439217. The reversal of 101229439200 is 2934922101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4195170 + ... + 4219230.

It is an arithmetic number, because the mean of its divisors is an integer number (2289607579).

Almost surely, 2^101229439200 is an apocalyptic number.

101229439200 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 101229439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164851745688).

101229439200 is an abundant number, since it is smaller than the sum of its proper divisors (228474052176).

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

101229439200 is a wasteful number, since it uses less digits than its factorization.

101229439200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25837 (or 25824 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 101229439200 in words is "one hundred one billion, two hundred twenty-nine million, four hundred thirty-nine thousand, two hundred".