10200320100 has 108 divisors (see below), whose sum is σ = 32000746960. Its totient is φ = 2717668800.

The previous prime is 10200320051. The next prime is 10200320101. The reversal of 10200320100 is 102300201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200320101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1157511 + ... + 1166289.

Almost surely, 2^10200320100 is an apocalyptic number.

10200320100 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 10200320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000373480).

10200320100 is an abundant number, since it is smaller than the sum of its proper divisors (21800426860).

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

10200320100 is a wasteful number, since it uses less digits than its factorization.

10200320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10090 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10200320100 its reverse (102300201), we get a palindrome (10302620301).

The spelling of 10200320100 in words is "ten billion, two hundred million, three hundred twenty thousand, one hundred".