10220002000 has 80 divisors (see below), whose sum is σ = 26612952912. Its totient is φ = 3773529600.

The previous prime is 10220001989. The next prime is 10220002019. The reversal of 10220002000 is 20002201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7400816784 + 2819185216 = 86028^2 + 53096^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170539 + ... + 222538.

Almost surely, 2^10220002000 is an apocalyptic number.

10220002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220002000 is an abundant number, since it is smaller than the sum of its proper divisors (16392950912).

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

10220002000 is a wasteful number, since it uses less digits than its factorization.

10220002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393113 (or 393097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 10220002000 its reverse (20002201), we get a palindrome (10240004201).

The spelling of 10220002000 in words is "ten billion, two hundred twenty million, two thousand".