1012021200 has 90 divisors (see below), whose sum is σ = 3512007174. Its totient is φ = 269871360.

The previous prime is 1012021193. The next prime is 1012021201. The reversal of 1012021200 is 21202101.

1012021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3069504 + 1008951696 = 1752^2 + 31764^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012021201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136959 + ... + 144158.

Almost surely, 2^1012021200 is an apocalyptic number.

1012021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012021200 is an abundant number, since it is smaller than the sum of its proper divisors (2499985974).

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

1012021200 is a wasteful number, since it uses less digits than its factorization.

1012021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281141 (or 281127 counting only the distinct ones).

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

The square root of 1012021200 is about 31812.2806475738. The cubic root of 1012021200 is about 1003.9911164645.

Adding to 1012021200 its reverse (21202101), we get a palindrome (1033223301).

The spelling of 1012021200 in words is "one billion, twelve million, twenty-one thousand, two hundred".