101411024133210 has 128 divisors (see below), whose sum is σ = 268774407982080. Its totient is φ = 24282600960000.

The previous prime is 101411024133203. The next prime is 101411024133259. The reversal of 101411024133210 is 12331420114101.

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, 117044085 + ... + 117907335.

It is an arithmetic number, because the mean of its divisors is an integer number (2099800062360).

Almost surely, 2^{101411024133210} is an apocalyptic number.

101411024133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101411024133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134387203991040).

101411024133210 is an abundant number, since it is smaller than the sum of its proper divisors (167363383848870).

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

101411024133210 is a wasteful number, since it uses less digits than its factorization.

101411024133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867644.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 101411024133210 its reverse (12331420114101), we get a palindrome (113742444247311).

The spelling of 101411024133210 in words is "one hundred one trillion, four hundred eleven billion, twenty-four million, one hundred thirty-three thousand, two hundred ten".