101816314020 has 288 divisors, whose sum is σ = 323654123520. Its totient is φ = 25875763200.

The previous prime is 101816313923. The next prime is 101816314063. The reversal of 101816314020 is 20413618101.

It is a happy number.

101816314020 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 1 + 631 + 4 + 0 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 253905820 + ... + 253906220.

It is an arithmetic number, because the mean of its divisors is an integer number (1123799040).

Almost surely, 2^101816314020 is an apocalyptic number.

101816314020 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 101816314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161827061760).

101816314020 is an abundant number, since it is smaller than the sum of its proper divisors (221837809500).

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

101816314020 is a wasteful number, since it uses less digits than its factorization.

101816314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 101816314020 in words is "one hundred one billion, eight hundred sixteen million, three hundred fourteen thousand, twenty".