101102101320 has 128 divisors (see below), whose sum is σ = 331109130240. Its totient is φ = 24492599040.

The previous prime is 101102101319. The next prime is 101102101339. The reversal of 101102101320 is 23101201101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101102101296 and 101102101305.

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 31 ways as a sum of consecutive naturals, for example, 1931737 + ... + 1983383.

It is an arithmetic number, because the mean of its divisors is an integer number (2586790080).

Almost surely, 2^101102101320 is an apocalyptic number.

101102101320 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 101102101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165554565120).

101102101320 is an abundant number, since it is smaller than the sum of its proper divisors (230007028920).

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

101102101320 is a wasteful number, since it uses less digits than its factorization.

101102101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53155 (or 53151 counting only the distinct ones).

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

Adding to 101102101320 its reverse (23101201101), we get a palindrome (124203302421).

The spelling of 101102101320 in words is "one hundred one billion, one hundred two million, one hundred one thousand, three hundred twenty".