1021255200 has 432 divisors, whose sum is σ = 4299474816. Its totient is φ = 223027200.

The previous prime is 1021255189. The next prime is 1021255211. The reversal of 1021255200 is 25521201.

1021255200 is a `hidden beast` number, since 102 + 12 + 552 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1021255189) and next prime (1021255211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158760 + ... + 1159640.

It is an arithmetic number, because the mean of its divisors is an integer number (9952488).

Almost surely, 2^1021255200 is an apocalyptic number.

1021255200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149737408).

1021255200 is an abundant number, since it is smaller than the sum of its proper divisors (3278219616).

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

1021255200 is a wasteful number, since it uses less digits than its factorization.

1021255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1021255200 is about 31957.0837217666. The cubic root of 1021255200 is about 1007.0354529886.

Adding to 1021255200 its reverse (25521201), we get a palindrome (1046776401).

The spelling of 1021255200 in words is "one billion, twenty-one million, two hundred fifty-five thousand, two hundred".