101013212320 has 48 divisors (see below), whose sum is σ = 246341910528. Its totient is φ = 39101886720.

The previous prime is 101013212299. The next prime is 101013212323. The reversal of 101013212320 is 23212310101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101013212294 and 101013212303.

It is not an unprimeable number, because it can be changed into a prime (101013212323) 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 7 ways as a sum of consecutive naturals, for example, 10177824 + ... + 10187743.

It is an arithmetic number, because the mean of its divisors is an integer number (5132123136).

Almost surely, 2^101013212320 is an apocalyptic number.

101013212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013212320 is an abundant number, since it is smaller than the sum of its proper divisors (145328698208).

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

101013212320 is a wasteful number, since it uses less digits than its factorization.

101013212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365613 (or 20365605 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101013212320 its reverse (23212310101), we get a palindrome (124225522421).

The spelling of 101013212320 in words is "one hundred one billion, thirteen million, two hundred twelve thousand, three hundred twenty".