1020220130000 has 100 divisors (see below), whose sum is σ = 2472556606740. Its totient is φ = 407674752000.

The previous prime is 1020220129993. The next prime is 1020220130009. The reversal of 1020220130000 is 310220201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 721256135824 + 298963994176 = 849268^2 + 546776^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1020220130000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020220130009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9918836 + ... + 10021164.

Almost surely, 2^{1020220130000} is an apocalyptic number.

1020220130000 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 1020220130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236278303370).

1020220130000 is an abundant number, since it is smaller than the sum of its proper divisors (1452336476740).

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

1020220130000 is an equidigital number, since it uses as much as digits as its factorization.

1020220130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103354 (or 103333 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1020220130000 its reverse (310220201), we get a palindrome (1020530350201).

The spelling of 1020220130000 in words is "one trillion, twenty billion, two hundred twenty million, one hundred thirty thousand".