102211121212020 has 288 divisors, whose sum is σ = 322075256499360. Its totient is φ = 26215346995200.

The previous prime is 102211121212007. The next prime is 102211121212061. The reversal of 102211121212020 is 20212121112201.

102211121212020 is a `hidden beast` number, since 10 + 221 + 112 + 121 + 202 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 18118626533604 + 84092494678416 = 4256598^2 + 9170196^2 .

It is a super-2 number, since 2×102211121212020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102211121211984 and 102211121212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2769855570 + ... + 2769892470.

It is an arithmetic number, because the mean of its divisors is an integer number (1118316862845).

Almost surely, 2^{102211121212020} is an apocalyptic number.

102211121212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211121212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161037628249680).

102211121212020 is an abundant number, since it is smaller than the sum of its proper divisors (219864135287340).

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

102211121212020 is a wasteful number, since it uses less digits than its factorization.

102211121212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41715 (or 41710 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211121212020 its reverse (20212121112201), we get a palindrome (122423242324221).

The spelling of 102211121212020 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-one million, two hundred twelve thousand, twenty".