10202205000 has 320 divisors, whose sum is σ = 34701891840. Its totient is φ = 2483712000.

The previous prime is 10202204981. The next prime is 10202205089. The reversal of 10202205000 is 50220201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22034769 + ... + 22035231.

It is an arithmetic number, because the mean of its divisors is an integer number (108443412).

Almost surely, 2^10202205000 is an apocalyptic number.

10202205000 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 10202205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350945920).

10202205000 is an abundant number, since it is smaller than the sum of its proper divisors (24499686840).

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

10202205000 is a wasteful number, since it uses less digits than its factorization.

10202205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

Adding to 10202205000 its reverse (50220201), we get a palindrome (10252425201).

The spelling of 10202205000 in words is "ten billion, two hundred two million, two hundred five thousand".