101010233201300 has 144 divisors (see below), whose sum is σ = 231883628497920. Its totient is φ = 38129952000000.

The previous prime is 101010233201281. The next prime is 101010233201357. The reversal of 101010233201300 is 3102332010101.

It is a super-2 number, since 2×101010233201300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 101867900 + ... + 102854700.

It is an arithmetic number, because the mean of its divisors is an integer number (1610302975680).

Almost surely, 2^{101010233201300} is an apocalyptic number.

101010233201300 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 101010233201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115941814248960).

101010233201300 is an abundant number, since it is smaller than the sum of its proper divisors (130873395296620).

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

101010233201300 is a wasteful number, since it uses less digits than its factorization.

101010233201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987642 (or 987635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101010233201300 its reverse (3102332010101), we get a palindrome (104112565211401).

The spelling of 101010233201300 in words is "one hundred one trillion, ten billion, two hundred thirty-three million, two hundred one thousand, three hundred".