1020221211020 has 96 divisors (see below), whose sum is σ = 2342977116480. Its totient is φ = 370079170560.

The previous prime is 1020221210947. The next prime is 1020221211029. The reversal of 1020221211020 is 201121220201.

It is a junction number, because it is equal to n+sod(n) for n = 1020221210986 and 1020221211004.

It is not an unprimeable number, because it can be changed into a prime (1020221211029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171376364 + ... + 171382316.

It is an arithmetic number, because the mean of its divisors is an integer number (24406011630).

Almost surely, 2^{1020221211020} is an apocalyptic number.

1020221211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221211020 is an abundant number, since it is smaller than the sum of its proper divisors (1322755905460).

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

1020221211020 is a wasteful number, since it uses less digits than its factorization.

1020221211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020221211020 its reverse (201121220201), we get a palindrome (1221342431221).

The spelling of 1020221211020 in words is "one trillion, twenty billion, two hundred twenty-one million, two hundred eleven thousand, twenty".