101013102221320 has 128 divisors (see below), whose sum is σ = 245111249577600. Its totient is φ = 37339761715200.

The previous prime is 101013102221309. The next prime is 101013102221327. The reversal of 101013102221320 is 23122201310101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (101013102221327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 224469982 + ... + 224919538.

It is an arithmetic number, because the mean of its divisors is an integer number (1914931637325).

Almost surely, 2^{101013102221320} is an apocalyptic number.

101013102221320 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 101013102221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122555624788800).

101013102221320 is an abundant number, since it is smaller than the sum of its proper divisors (144098147356280).

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

101013102221320 is a wasteful number, since it uses less digits than its factorization.

101013102221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456839 (or 456835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101013102221320 its reverse (23122201310101), we get a palindrome (124135303531421).

The spelling of 101013102221320 in words is "one hundred one trillion, thirteen billion, one hundred two million, two hundred twenty-one thousand, three hundred twenty".