1022121210020 has 48 divisors (see below), whose sum is σ = 2273097602160. Its totient is φ = 384734060544.

The previous prime is 1022121210001. The next prime is 1022121210023. The reversal of 1022121210020 is 200121212201.

It can be written as a sum of positive squares in 8 ways, for example, as 37057020004 + 985064190016 = 192502^2 + 992504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022121209977 and 1022121210004.

It is not an unprimeable number, because it can be changed into a prime (1022121210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803596 + ... + 2301564.

It is an arithmetic number, because the mean of its divisors is an integer number (47356200045).

Almost surely, 2^{1022121210020} is an apocalyptic number.

1022121210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121210020 is an abundant number, since it is smaller than the sum of its proper divisors (1250976392140).

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

1022121210020 is a wasteful number, since it uses less digits than its factorization.

1022121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504032 (or 504030 counting only the distinct ones).

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

Adding to 1022121210020 its reverse (200121212201), we get a palindrome (1222242422221).

The spelling of 1022121210020 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred ten thousand, twenty".