101024114200 has 96 divisors (see below), whose sum is σ = 240618081600. Its totient is φ = 39433933440.

The previous prime is 101024114119. The next prime is 101024114209. The reversal of 101024114200 is 2411420101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024114209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398571 + ... + 1469029.

It is an arithmetic number, because the mean of its divisors is an integer number (2506438350).

Almost surely, 2^101024114200 is an apocalyptic number.

101024114200 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 101024114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120309040800).

101024114200 is an abundant number, since it is smaller than the sum of its proper divisors (139593967400).

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

101024114200 is a wasteful number, since it uses less digits than its factorization.

101024114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70649 (or 70640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101024114200 its reverse (2411420101), we get a palindrome (103435534301).

The spelling of 101024114200 in words is "one hundred one billion, twenty-four million, one hundred fourteen thousand, two hundred".