10001021200 has 60 divisors (see below), whose sum is σ = 24856015140. Its totient is φ = 3862458880.

The previous prime is 10001021131. The next prime is 10001021209. The reversal of 10001021200 is 212010001.

It can be written as a sum of positive squares in 6 ways, for example, as 643941376 + 9357079824 = 25376^2 + 96732^2 .

It is not an unprimeable number, because it can be changed into a prime (10001021209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419479 + ... + 442678.

It is an arithmetic number, because the mean of its divisors is an integer number (414266919).

Almost surely, 2^10001021200 is an apocalyptic number.

10001021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001021200 is an abundant number, since it is smaller than the sum of its proper divisors (14854993940).

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

10001021200 is a wasteful number, since it uses less digits than its factorization.

10001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862204 (or 862193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001021200 its reverse (212010001), we get a palindrome (10213031201).

The spelling of 10001021200 in words is "ten billion, one million, twenty-one thousand, two hundred".