10011021200 has 60 divisors (see below), whose sum is σ = 25466288580. Its totient is φ = 3768852480.

The previous prime is 10011021199. The next prime is 10011021203. The reversal of 10011021200 is 212011001.

It can be written as a sum of positive squares in 6 ways, for example, as 55771024 + 9955250176 = 7468^2 + 99776^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10011021203) 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, 729305 + ... + 742904.

It is an arithmetic number, because the mean of its divisors is an integer number (424438143).

Almost surely, 2^10011021200 is an apocalyptic number.

10011021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011021200 is an abundant number, since it is smaller than the sum of its proper divisors (15455267380).

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

10011021200 is a wasteful number, since it uses less digits than its factorization.

10011021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472244 (or 1472233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10011021200 its reverse (212011001), we get a palindrome (10223032201).

It can be divided in two parts, 1001 and 1021200, that added together give a palindrome (1022201).

The spelling of 10011021200 in words is "ten billion, eleven million, twenty-one thousand, two hundred".