1020221101000 has 32 divisors (see below), whose sum is σ = 2387317378680. Its totient is φ = 408088440000.

The previous prime is 1020221100991. The next prime is 1020221101001. The reversal of 1020221101000 is 1011220201.

It can be written as a sum of positive squares in 4 ways, for example, as 555743412324 + 464477688676 = 745482^2 + 681526^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020221101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510109551 + ... + 510111550.

Almost surely, 2^{1020221101000} is an apocalyptic number.

1020221101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221101000 is an abundant number, since it is smaller than the sum of its proper divisors (1367096277680).

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

1020221101000 is a wasteful number, since it uses less digits than its factorization.

1020221101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020221122 (or 1020221108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020221101000 its reverse (1011220201), we get a palindrome (1021232321201).

The spelling of 1020221101000 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred one thousand".