10200101320 has 64 divisors (see below), whose sum is σ = 24573423600. Its totient is φ = 3796869120.

The previous prime is 10200101297. The next prime is 10200101323. The reversal of 10200101320 is 2310100201.

It can be written as a sum of positive squares in 8 ways, for example, as 7566564196 + 2633537124 = 86986^2 + 51318^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10200101297 and 10200101306.

It is not an unprimeable number, because it can be changed into a prime (10200101323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23751 + ... + 144790.

Almost surely, 2^10200101320 is an apocalyptic number.

10200101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200101320 is an abundant number, since it is smaller than the sum of its proper divisors (14373322280).

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

10200101320 is a wasteful number, since it uses less digits than its factorization.

10200101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168658 (or 168654 counting only the distinct ones).

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

Adding to 10200101320 its reverse (2310100201), we get a palindrome (12510201521).

The spelling of 10200101320 in words is "ten billion, two hundred million, one hundred one thousand, three hundred twenty".