101424100330110 has 192 divisors, whose sum is σ = 272058774753600. Its totient is φ = 24111869128704.

The previous prime is 101424100330079. The next prime is 101424100330151. The reversal of 101424100330110 is 11033001424101.

It is a super-3 number, since 3×101424100330110³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1257246856 + ... + 1257327524.

It is an arithmetic number, because the mean of its divisors is an integer number (1416972785175).

Almost surely, 2^{101424100330110} is an apocalyptic number.

101424100330110 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 101424100330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136029387376800).

101424100330110 is an abundant number, since it is smaller than the sum of its proper divisors (170634674423490).

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

101424100330110 is a wasteful number, since it uses less digits than its factorization.

101424100330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87563 (or 87544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101424100330110 its reverse (11033001424101), we get a palindrome (112457101754211).

The spelling of 101424100330110 in words is "one hundred one trillion, four hundred twenty-four billion, one hundred million, three hundred thirty thousand, one hundred ten".