1032220212100 has 288 divisors, whose sum is σ = 2836242968832. Its totient is φ = 316742400000.

The previous prime is 1032220212091. The next prime is 1032220212109. The reversal of 1032220212100 is 12120222301.

It is a happy number.

1032220212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1032220212091) and next prime (1032220212109).

It is not an unprimeable number, because it can be changed into a prime (1032220212109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140760034 + ... + 140767366.

It is an arithmetic number, because the mean of its divisors is an integer number (9848065864).

Almost surely, 2^{1032220212100} is an apocalyptic number.

1032220212100 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 1032220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418121484416).

1032220212100 is an abundant number, since it is smaller than the sum of its proper divisors (1804022756732).

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

1032220212100 is a wasteful number, since it uses less digits than its factorization.

1032220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1032220212100 its reverse (12120222301), we get a palindrome (1044340434401).

The spelling of 1032220212100 in words is "one trillion, thirty-two billion, two hundred twenty million, two hundred twelve thousand, one hundred".