10202201300 has 36 divisors (see below), whose sum is σ = 22161198780. Its totient is φ = 4076747520.

The previous prime is 10202201299. The next prime is 10202201329. The reversal of 10202201300 is 310220201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52041796 + 10150159504 = 7214^2 + 100748^2 .

It is a super-2 number, since 2×10202201300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48536 + ... + 150864.

It is an arithmetic number, because the mean of its divisors is an integer number (615588855).

Almost surely, 2^10202201300 is an apocalyptic number.

10202201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202201300 is an abundant number, since it is smaller than the sum of its proper divisors (11958997480).

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

10202201300 is a wasteful number, since it uses less digits than its factorization.

10202201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103340 (or 103333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10202201300 its reverse (310220201), we get a palindrome (10512421501).

The spelling of 10202201300 in words is "ten billion, two hundred two million, two hundred one thousand, three hundred".