101103994200 has 288 divisors, whose sum is σ = 345207905280. Its totient is φ = 24460128000.

The previous prime is 101103994193. The next prime is 101103994237. The reversal of 101103994200 is 2499301101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45809497 + ... + 45811703.

It is an arithmetic number, because the mean of its divisors is an integer number (1198638560).

Almost surely, 2^101103994200 is an apocalyptic number.

101103994200 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 101103994200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172603952640).

101103994200 is an abundant number, since it is smaller than the sum of its proper divisors (244103911080).

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

101103994200 is a wasteful number, since it uses less digits than its factorization.

101103994200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The spelling of 101103994200 in words is "one hundred one billion, one hundred three million, nine hundred ninety-four thousand, two hundred".