1022132100000 has 288 divisors, whose sum is σ = 3658545963072. Its totient is φ = 247788800000.

The previous prime is 1022132099981. The next prime is 1022132100049. The reversal of 1022132100000 is 12312201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145132 + ... + 3454868.

It is an arithmetic number, because the mean of its divisors is an integer number (12703284594).

Almost surely, 2^{1022132100000} is an apocalyptic number.

1022132100000 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 1022132100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829272981536).

1022132100000 is an abundant number, since it is smaller than the sum of its proper divisors (2636413863072).

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

1022132100000 is an equidigital number, since it uses as much as digits as its factorization.

1022132100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309786 (or 309758 counting only the distinct ones).

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

Adding to 1022132100000 its reverse (12312201), we get a palindrome (1022144412201).

The spelling of 1022132100000 in words is "one trillion, twenty-two billion, one hundred thirty-two million, one hundred thousand".