101205420021300 has 576 divisors, whose sum is σ = 369645421178880. Its totient is φ = 20867055390720.

The previous prime is 101205420021287. The next prime is 101205420021317. The reversal of 101205420021300 is 3120024502101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 59389944 + ... + 61070256.

It is an arithmetic number, because the mean of its divisors is an integer number (641745522880).

Almost surely, 2^{101205420021300} is an apocalyptic number.

101205420021300 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 101205420021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184822710589440).

101205420021300 is an abundant number, since it is smaller than the sum of its proper divisors (268440001157580).

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

101205420021300 is a wasteful number, since it uses less digits than its factorization.

101205420021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680432 (or 1680425 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 101205420021300 its reverse (3120024502101), we get a palindrome (104325444523401).

The spelling of 101205420021300 in words is "one hundred one trillion, two hundred five billion, four hundred twenty million, twenty-one thousand, three hundred".