101329018200 has 384 divisors, whose sum is σ = 355155840000. Its totient is φ = 26549752320.

The previous prime is 101329018183. The next prime is 101329018213. The reversal of 101329018200 is 2810923101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114754959 + ... + 114755841.

It is an arithmetic number, because the mean of its divisors is an integer number (924885000).

Almost surely, 2^101329018200 is an apocalyptic number.

101329018200 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 101329018200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177577920000).

101329018200 is an abundant number, since it is smaller than the sum of its proper divisors (253826821800).

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

101329018200 is a wasteful number, since it uses less digits than its factorization.

101329018200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101329018200 in words is "one hundred one billion, three hundred twenty-nine million, eighteen thousand, two hundred".