101210020320 has 96 divisors (see below), whose sum is σ = 319401684000. Its totient is φ = 26939381760.

The previous prime is 101210020291. The next prime is 101210020349. The reversal of 101210020320 is 23020012101.

It is an interprime number because it is at equal distance from previous prime (101210020291) and next prime (101210020349).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 101210020296 and 101210020305.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 64806 + ... + 454554.

It is an arithmetic number, because the mean of its divisors is an integer number (3327100875).

Almost surely, 2^101210020320 is an apocalyptic number.

101210020320 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 101210020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159700842000).

101210020320 is an abundant number, since it is smaller than the sum of its proper divisors (218191663680).

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

101210020320 is a wasteful number, since it uses less digits than its factorization.

101210020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390308 (or 390300 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101210020320 its reverse (23020012101), we get a palindrome (124230032421).

The spelling of 101210020320 in words is "one hundred one billion, two hundred ten million, twenty thousand, three hundred twenty".