101827476820 has 24 divisors (see below), whose sum is σ = 218387441664. Its totient is φ = 39864373536.

The previous prime is 101827476799. The next prime is 101827476833. The reversal of 101827476820 is 28674728101.

It is a super-3 number, since 3×101827476820³ (a number of 34 digits) contains 333 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 7 ways as a sum of consecutive naturals, for example, 54162612 + ... + 54164491.

It is an arithmetic number, because the mean of its divisors is an integer number (9099476736).

Almost surely, 2^101827476820 is an apocalyptic number.

101827476820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101827476820 is an abundant number, since it is smaller than the sum of its proper divisors (116559964844).

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

101827476820 is a wasteful number, since it uses less digits than its factorization.

101827476820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108327159 (or 108327157 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 101827476820 in words is "one hundred one billion, eight hundred twenty-seven million, four hundred seventy-six thousand, eight hundred twenty".