101918292820 has 48 divisors (see below), whose sum is σ = 219785403600. Its totient is φ = 39675617280.

The previous prime is 101918292811. The next prime is 101918292841. The reversal of 101918292820 is 28292819101.

It can be written as a sum of positive squares in 8 ways, for example, as 306530064 + 101611762756 = 17508^2 + 318766^2 .

It is a super-2 number, since 2×101918292820² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 183436 + ... + 487324.

It is an arithmetic number, because the mean of its divisors is an integer number (4578862575).

Almost surely, 2^101918292820 is an apocalyptic number.

101918292820 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 101918292820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109892701800).

101918292820 is an abundant number, since it is smaller than the sum of its proper divisors (117867110780).

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

101918292820 is a wasteful number, since it uses less digits than its factorization.

101918292820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304348 (or 304346 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The spelling of 101918292820 in words is "one hundred one billion, nine hundred eighteen million, two hundred ninety-two thousand, eight hundred twenty".