101102203210320 has 120 divisors (see below), whose sum is σ = 365652968311176. Its totient is φ = 24886696172544.

The previous prime is 101102203210319. The next prime is 101102203210391. The reversal of 101102203210320 is 23012302201101.

101102203210320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 2 + 20 + 321 + 0 + 320 = 666.

101102203210320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5594114275344 + 95508088934976 = 2365188^2 + 9772824^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101102203210293 and 101102203210302.

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 23 ways as a sum of consecutive naturals, for example, 5400749359 + ... + 5400768078.

Almost surely, 2^{101102203210320} is an apocalyptic number.

101102203210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102203210320 is an abundant number, since it is smaller than the sum of its proper divisors (264550765100856).

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

101102203210320 is a wasteful number, since it uses less digits than its factorization.

101102203210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801517469 (or 10801517460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101102203210320 its reverse (23012302201101), we get a palindrome (124114505411421).

The spelling of 101102203210320 in words is "one hundred one trillion, one hundred two billion, two hundred three million, two hundred ten thousand, three hundred twenty".