101210013320 has 128 divisors (see below), whose sum is σ = 251215050240. Its totient is φ = 36461214720.

The previous prime is 101210013259. The next prime is 101210013341. The reversal of 101210013320 is 23310012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210013295 and 101210013304.

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, 27523322 + ... + 27526998.

It is an arithmetic number, because the mean of its divisors is an integer number (1962617580).

Almost surely, 2^101210013320 is an apocalyptic number.

101210013320 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 101210013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125607525120).

101210013320 is an abundant number, since it is smaller than the sum of its proper divisors (150005036920).

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

101210013320 is a wasteful number, since it uses less digits than its factorization.

101210013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101210013320 its reverse (23310012101), we get a palindrome (124520025421).

The spelling of 101210013320 in words is "one hundred one billion, two hundred ten million, thirteen thousand, three hundred twenty".