10100201300 has 144 divisors (see below), whose sum is σ = 25676689920. Its totient is φ = 3376650240.

The previous prime is 10100201227. The next prime is 10100201311. The reversal of 10100201300 is 310200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14245346 + ... + 14246054.

Almost surely, 2^10100201300 is an apocalyptic number.

10100201300 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 10100201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12838344960).

10100201300 is an abundant number, since it is smaller than the sum of its proper divisors (15576488620).

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

10100201300 is a wasteful number, since it uses less digits than its factorization.

10100201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10100201300 its reverse (310200101), we get a palindrome (10410401401).

The spelling of 10100201300 in words is "ten billion, one hundred million, two hundred one thousand, three hundred".