101210101102320 has 320 divisors, whose sum is σ = 380239906231296. Its totient is φ = 21739985879040.

The previous prime is 101210101102277. The next prime is 101210101102373. The reversal of 101210101102320 is 23201101012101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101210101102320.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16197547 + ... + 21558773.

Almost surely, 2^{101210101102320} is an apocalyptic number.

101210101102320 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 101210101102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190119953115648).

101210101102320 is an abundant number, since it is smaller than the sum of its proper divisors (279029805128976).

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

101210101102320 is a wasteful number, since it uses less digits than its factorization.

101210101102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361928 (or 5361922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101210101102320 its reverse (23201101012101), we get a palindrome (124411202114421).

The spelling of 101210101102320 in words is "one hundred one trillion, two hundred ten billion, one hundred one million, one hundred two thousand, three hundred twenty".