102211221012020 has 24 divisors (see below), whose sum is σ = 214848181485000. Its totient is φ = 40845513669632.

The previous prime is 102211221011909. The next prime is 102211221012071. The reversal of 102211221012020 is 20210122112201.

It can be written as a sum of positive squares in 4 ways, for example, as 3230768984356 + 98980452027664 = 1797434^2 + 9948892^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102211221012020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435899445 + ... + 2435941404.

It is an arithmetic number, because the mean of its divisors is an integer number (8952007561875).

Almost surely, 2^{102211221012020} is an apocalyptic number.

102211221012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211221012020 is an abundant number, since it is smaller than the sum of its proper divisors (112636960472980).

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

102211221012020 is a wasteful number, since it uses less digits than its factorization.

102211221012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871841907 (or 4871841905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102211221012020 its reverse (20210122112201), we get a palindrome (122421343124221).

The spelling of 102211221012020 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-one million, twelve thousand, twenty".