101002100320 has 96 divisors (see below), whose sum is σ = 260725360896. Its totient is φ = 36669427200.

The previous prime is 101002100293. The next prime is 101002100327. The reversal of 101002100320 is 23001200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101002100297 and 101002100306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002100327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1065087 + ... + 1156033.

It is an arithmetic number, because the mean of its divisors is an integer number (2715889176).

Almost surely, 2^101002100320 is an apocalyptic number.

101002100320 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 101002100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130362680448).

101002100320 is an abundant number, since it is smaller than the sum of its proper divisors (159723260576).

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

101002100320 is a wasteful number, since it uses less digits than its factorization.

101002100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91604 (or 91596 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101002100320 its reverse (23001200101), we get a palindrome (124003300421).

The spelling of 101002100320 in words is "one hundred one billion, two million, one hundred thousand, three hundred twenty".