101194324573900 has 144 divisors (see below), whose sum is σ = 228093613136928. Its totient is φ = 38938475520000.

The previous prime is 101194324573879. The next prime is 101194324573921. The reversal of 101194324573900 is 9375423491101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101194324573879) and next prime (101194324573921).

It is a super-2 number, since 2×101194324573900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1099282875 + ... + 1099374925.

It is an arithmetic number, because the mean of its divisors is an integer number (1583983424562).

Almost surely, 2^{101194324573900} is an apocalyptic number.

101194324573900 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 101194324573900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114046806568464).

101194324573900 is an abundant number, since it is smaller than the sum of its proper divisors (126899288563028).

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

101194324573900 is a wasteful number, since it uses less digits than its factorization.

101194324573900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95852 (or 95845 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 101194324573900 in words is "one hundred one trillion, one hundred ninety-four billion, three hundred twenty-four million, five hundred seventy-three thousand, nine hundred".