10102201300 has 36 divisors (see below), whose sum is σ = 21933283680. Its totient is φ = 4038759520.

The previous prime is 10102201283. The next prime is 10102201337. The reversal of 10102201300 is 310220101.

10102201300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10102201300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172377 + ... + 223423.

It is an arithmetic number, because the mean of its divisors is an integer number (609257880).

Almost surely, 2^10102201300 is an apocalyptic number.

10102201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102201300 is an abundant number, since it is smaller than the sum of its proper divisors (11831082380).

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

10102201300 is a wasteful number, since it uses less digits than its factorization.

10102201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53040 (or 53033 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10102201300 its reverse (310220101), we get a palindrome (10412421401).

The spelling of 10102201300 in words is "ten billion, one hundred two million, two hundred one thousand, three hundred".