10021012200 has 120 divisors (see below), whose sum is σ = 34804516230. Its totient is φ = 2672265600.

The previous prime is 10021012189. The next prime is 10021012201. The reversal of 10021012200 is 221012001.

It can be written as a sum of positive squares in 3 ways, for example, as 9070276644 + 950735556 = 95238^2 + 30834^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (10021012201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 293091 + ... + 325490.

Almost surely, 2^10021012200 is an apocalyptic number.

10021012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021012200 is an abundant number, since it is smaller than the sum of its proper divisors (24783504030).

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

10021012200 is a wasteful number, since it uses less digits than its factorization.

10021012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618609 (or 618591 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021012200 its reverse (221012001), we get a palindrome (10242024201).

The spelling of 10021012200 in words is "ten billion, twenty-one million, twelve thousand, two hundred".