1020220120100 has 36 divisors (see below), whose sum is σ = 2228735932500. Its totient is φ = 405349196160.

The previous prime is 1020220120081. The next prime is 1020220120103. The reversal of 1020220120100 is 10210220201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 27203884096 + 993016236004 = 164936^2 + 996502^2 .

It is not an unprimeable number, because it can be changed into a prime (1020220120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34220675 + ... + 34250474.

Almost surely, 2^{1020220120100} is an apocalyptic number.

1020220120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020220120100 is an abundant number, since it is smaller than the sum of its proper divisors (1208515812400).

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

1020220120100 is a wasteful number, since it uses less digits than its factorization.

1020220120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68471312 (or 68471305 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020220120100 its reverse (10210220201), we get a palindrome (1030430340301).

The spelling of 1020220120100 in words is "one trillion, twenty billion, two hundred twenty million, one hundred twenty thousand, one hundred".