1032122100 has 72 divisors (see below), whose sum is σ = 2991871008. Its totient is φ = 274716800.

The previous prime is 1032122083. The next prime is 1032122111. The reversal of 1032122100 is 12212301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173170 + ... + 179030.

It is an arithmetic number, because the mean of its divisors is an integer number (41553764).

Almost surely, 2^1032122100 is an apocalyptic number.

1032122100 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 1032122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495935504).

1032122100 is an abundant number, since it is smaller than the sum of its proper divisors (1959748908).

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

1032122100 is a wasteful number, since it uses less digits than its factorization.

1032122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6465 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1032122100 is about 32126.6571557017. The cubic root of 1032122100 is about 1010.5947221173.

Adding to 1032122100 its reverse (12212301), we get a palindrome (1044334401).

The spelling of 1032122100 in words is "one billion, thirty-two million, one hundred twenty-two thousand, one hundred".