101020110320 has 40 divisors (see below), whose sum is σ = 242970788160. Its totient is φ = 39014662400.

The previous prime is 101020110319. The next prime is 101020110341. The reversal of 101020110320 is 23011020101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101020110320³ (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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21769256 + ... + 21773895.

It is an arithmetic number, because the mean of its divisors is an integer number (6074269704).

Almost surely, 2^101020110320 is an apocalyptic number.

101020110320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020110320 is an abundant number, since it is smaller than the sum of its proper divisors (141950677840).

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

101020110320 is a wasteful number, since it uses less digits than its factorization.

101020110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43543193 (or 43543187 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101020110320 its reverse (23011020101), we get a palindrome (124031130421).

The spelling of 101020110320 in words is "one hundred one billion, twenty million, one hundred ten thousand, three hundred twenty".