101024243420100 has 576 divisors, whose sum is σ = 403061381087232. Its totient is φ = 18853565184000.

The previous prime is 101024243420081. The next prime is 101024243420129. The reversal of 101024243420100 is 1024342420101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6565005 + ... + 15657195.

Almost surely, 2^{101024243420100} is an apocalyptic number.

101024243420100 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 101024243420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201530690543616).

101024243420100 is an abundant number, since it is smaller than the sum of its proper divisors (302037137667132).

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

101024243420100 is a wasteful number, since it uses less digits than its factorization.

101024243420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092276 (or 9092269 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101024243420100 its reverse (1024342420101), we get a palindrome (102048585840201).

Subtracting from 101024243420100 its reverse (1024342420101), we obtain a palindrome (99999900999999).

The spelling of 101024243420100 in words is "one hundred one trillion, twenty-four billion, two hundred forty-three million, four hundred twenty thousand, one hundred".